LIST OF PUBLICATIONS


Papers in Refereed Journals

A.M. Grundland, I. Yurdusen (2009), On analytic descriptions of two-dimensional surfaces associated with the $\mathbb{C}P^{N-1}$ sigma model, Fast-track communication, J. Phys. A: Math. Theor. 42, 172001 (5pp).

A.M. Grundland, A.J. Hariton, L. Snobl (2009), Invariant solutions of the supersymmetric sine-Gordon equation, J. Phys. A: Math. Theor. 42, 335203 (23pp).

A.M. Grundland, A.J. Hariton (2009), $N=2$ supersymmetric extension of a hydrodynamic system, J. Math. Phys. 50, 073508 (21pp).

R. Conte, A.M. Grundland, B. Huard (2009), Elliptic solutions of isentropic ideal compressible fluid flow in $(3+1)$ dimensions, J. of Physics A : Math Theor. 42, 135203 (14pp).

A.M. Grundland, I. Yurdusen (2008), Surfaces obtained from $\mathbb{C}P^{N-1}$ sigma models, Int. J. Mod. Phys. A 23, 32, 5137-5157.

A.M. Grundland, A.J. Hariton (2008), Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions, J. Math. Phys. 49, 4, 043502 (21pp).

A.M. Grundland, W. Hereman, I. Yurdusen (2008), Conformally parametrized surfaces associated with $CP^{N-1}$ sigma models, J. of Physics A : Math Theor. 41, 065204 (28p).

A.M. Grundland, A.J. Hariton (2007), Supersymmetric version of a Gaussian irrotational compressible fluid flow, J. Phys. A : Math Theor. 40, 15113-15129.

A. M. Grundland, B. Huard (2007), Conditional symmetries and Riemann invariants for hyperbolic systems of PDEs, J. Phys. A : Math. Theor. 40 (2007), 4093-4123.

A.M. Grundland and L. Snobl (2006) Surfaces Associated with Sigma Models. Studies in 
Appl. Math., 358, 335-351.

A.M. Grundland and B. Huard (2006) Riemann Invariants and Rank-k Solutions of Hyperbolic Systems, J. Nonlin. Math. Phys. 13, 3, 393-419.

A. M. Grundland, A. Strasburger and W.J. Zakrzewski (2006) Surfaces Immersed in su{(N+1)} Lie Algebras Obtained from the CP^N Sigma Models, J. Phys A : Math. Gen. 39, 9187-9213.

R. Conte, A.M. Grundland and M. Musette (2006) A Reduction of the Resonant Three-Wave 
Interaction to the Generic Sixth Painleve Equation, J. Phys. A : Math. Gen. 39, 12115-12127.

A. M. Grundland, L. Snobl (2006) Description of Surfaces Associated with CP^{N-1} Sigma Models on Minkowski Space. J. Geom. Phys., 56, 512-531.


A. M. Grundland, L. Snobl (2005) Description of Surfaces Associated with Grassmannian Sigma Models on Minkowski Space. J. Math. Phys., 46,8, 3508-3520.


A. M. Grundland and A. Hariton (2004) Partially Invariant Solutions of Models Obtained from the Nambu-Goto Action.  J. Math. Phys. 45,8, 3239-3265.

A. M. Grundland, P. Picard (2004) On Conditionally Invariant Solutions of Magnetohydrodynamic Equations. Multiple Waves. J. Nonlinear Math. Phys. 11,1
47-74.

A. M. Grundland and W. J. Zakrzewski, (2003) CP^{N-1} Harmonic Maps and the Weierstrass Problem, J Math. Phys. 44, 8, 3370-3382.

A. M. Grundland, P. Tempesta and P. Winternitz, (2003) Weak Transversality and Partially Invariant Solutions, J Math. Phys. 44, 6, 2704-2722.

A. M. Grundland, A. J. Hariton and V. Hussin, (2003) Group Invariant Solutions of Relativistic and Non-relativistic Models, J. Math Phys. 44, 7, 2874-2890.

A. M. Grundland, D. Levi and L. Martina, (2003) On a Discrete Version of the CP^1 Sigma Model and Surfaces Immersed in R^3, J. Phys A, Math. Gen. 36, 4599-4616.

P. Bracken, P. Goldstein and A. M. Grundland, (2003) On Vortex Solutions and Links Between the Weierstrass System and the Complex Sine-Gordon Equations, J. Nonlinear Math. Phys. 10, 4, 464-486.

A. M. Grundland and W. J. Zakrzewski, (2003) On CP^1 and CP^2 Maps and Weierstrass Representations for Surfaces Immersed into Multi-Dimensional Euclidean Spaces, J. Nonlinear Math. Phys. 10,1, 110-135.

A. M. Grundland and W. J. Zakrzewski, (2003) On Certain Geometric Aspects of CP^N Harmonic Maps. J. Math. Phys. 44, 1, 328-327.

A. M. Grundland and W. J. Zakrzewski, (2002) The Weierstrass representation for surfaces immersed into R^8 and CP^2 maps, J. Math. Phys. 43, 6, 3352-3362.

P. Bracken and A. M. Grundland (2002) Solutions of the Generalised Weierstrass Representation in Four-Dimensional Euclidean Space, J. Nonlinear Math. Phys. 9, 3, 357-381.

P. Bracken and A. M. Grundland, (2002) On Complete Integrability of the Generalized Weierstrass System, J. Nonlinear Math. Phys. 9, 2, 229-247.

D. Levi and A. M. Grundland, (2002) Discrete Third Order Spectral Problems and a New Toda type Equation, J. Phys. A: Math. Gen. 35, L67-L73.

P. Bracken and A. M. Grundland, (2002) On Multivortex Solutions of the Weierstrass Representation and Complex Sine-Gordon Equation, J. Phys. Atomic Nuclei 65, 6, 1028-1032.

P. Bracken, A. M. Grundland, (2001) Symmetry Properties and Explicit Solutions of the Generalized Weierstrass System, J. Math. Phys. 42,3, 1250-1282.

P. Bracken and A. M. Grundland, (2001) Geometrical Aspects of the Complex Eikonal Equations Associated to the Generalized Weierstrass Representation, Czechoslovak Journal of Physics, 51,4, 293-300.

A. M. Grundland, M. G. Sheftel, P. Winternitz, (2000) Invariant Solutions of Equations of the Hydrodynamic Type, J. Phys. A: Math. Gen. 33,46, 8193-8215.

P. Bracken, A. M. Grundland (2000): On the Backlund Transformation and the Theorem of Permutability for the Generalized Weierstrass System., Inverse Problems, 16, 145-153.

E. V. Ferapontov, A. M. Grundland (2000): Links Between Different Analytic Descriptions of Constant Mean Curvature Surfaces. J. Nonlinear Math. Phys., 7,1, 14-21.

A. Odzijewicz, A. M. Grundland (2000): The Superposition Principle for the Lie Type First Order PDEs. Reports Math. Phys., 45,2, 293-306.

A. M. Grundland, D. Levi (1999). On Higher Order Riccati Equations and Backlund transformations. J. Phys. A: Math. Gen., 32, 3931-3937.

P. Bracken, A. M. Grundland, L. Martina (1999). The Weierstrass-Enneper System for Constant Mean Curvature Surfaces and the Completely Integrable Sigma Model, J. Math. Phys. 40,7, 3379-3403.

P. Bracken, A. M. Grundland (1999). On Certain Classes of Solutions of the Weierstrass-Enneper System Inducing Constant Mean Curvature Surfaces. J. Nonlin. Math. Phys., 6,3, 294-313.

R. Conte, M. Musset, A. M. Grundland (1999), Backlund Transformation of Partial Differential Equations from the Painleve-Gambier Classification, II. Tzitz\'eica equation. J. Math. Phys. 40,4, 2092-2106.

A. M. Grundland, L. Martina, G. Rideau (1997): Partial Differential Equations with Differential Constraints, in Advances in Mathematical Sciences-CRM's 25 anniversary, vol. 11, Ed. L. Vinet, Proceedings and Lecture Notes AMS, Providence, 135-154.

P. Doyle, A. M. Grundland: (1996) Invariant Solutions of Quasilinear Systems of Partial Differential Equations, J. Math. Phys. 37, 6 1901-2000.

A. M. Grundland, L. Lalague: (1996) Invariant and Partially Invariant Solutions of the Equations Describing Nonstationary and Isentropic Flow for an Ideal and Compressible Fluid in (3+1) Dimensions. J. Phys. A. Math. Gen. 29, 1723-1739.

A. M. Grundland, P. Winternitz, W. J. Zakrzewski: (1996) On the Solutions of the CP^{1} Model in (2+1) Dimensions. J. Math. Phys. 37,3 1501-1520.

A. M. Grundland, J. A. Tafel (1996): Nonclassical Symmetry Reduction and Riemann Wave Solutions, J. Math. Anal. Appl., 198,3, 879-892.

A. M. Grundland, L. Lalague (1995): Lie Subgroups of the Symmetry Group of the Fluid Dynamics and the Magnetohydrodynamics Equations. Can. J. Phys., 73,7/8, 463-477.

A. M. Grundland, M. Kovalyov, M. Sussman (1995): On the Behaviour of Some Explicit Solutions of the Harmonic Maps Equations. Rocky Mountain J. of Math, 25, 1, 1-17.

A. M. Grundland, J. A. Tafel (1994): On the Existence of Nonclassical Symmetries of Partial Differential Equations, J. Math. Phys., 36, 3, 1426-1434.

A. M. Grundland, L. Lalague (1994): Lie Subgroups of the Symmetry Group of the Equations Describing a Nonstationary and Isotropic Flow, Can. J. Phys. 72, 9, 362-374.

A. M. Grundland, M. Kovalyov, M. Sussman (1994): Interaction of Kink Type Solutions of the Harmonic Maps Equations, J. Math. Phys. 35, 12, 6774-6783.

J. A. Tuszynski, J. M. Dixon, A. M. Grundland (1994): Nonlinear Field Theories and Non-Gaussian Fluctuations for Near-Critical Many-Body Systems. Fortschr. Phys. 42, 4, 302-339.

A. M. Grundland, J. A. Tafel (1993): Group Invariant Solutions to the Einstein Equations with Pure Radiation Fields. Class. Quantum Gravity, 10, 2337-2345.

A. M. Grundland, J. A. Tuszynski, P. Winternitz (1993): Group Theory and Solutions of Classical Field Theories with Polynomial Nonlinearities. Foundations of Physics, Ed. Van der Merve 23, 4, 633-665.

A. M. Grundland, E. Infeld (1992): A Family of Nonlinear Klein-Gordon Equations and Their Solutions. J. Math. Phys. 33,7, 2498-2503.

A. M. Grundland, P. Vassiliou (1991): On the Solvability of the Cauchy Problem for Riemann Double Waves by the Monge-Darboux Method. International J. Analysis and its Applications 11, 221-279.

P. Winternitz, A. M. Grundland, J. A. Tuszynski (1991): Nonlinear Magnetization Processes in the Landau-Ginzburg Model of Magnetic Inhomogeneities for Uniaxial Ferromagnets. Phys. Rev. B 44, 18, 10040-10049.

A. M. Grundland, B. Lawruk (1991): The Lagrange-Riemann Method for Integration of Nonlinear Differential Equations. International J. Analysis and its Applications 11, (7) 1-20.

A. M. Grundland, M. Burnat (1991): Conical Solutions of the Autonomous Partial Differential Systems. Reports on Math. Phys. 30, (1), 71-80.

M. Skierski, A. M. Grundland, J. A. Tuszynski (1990): Short-Range Induced Critical Phenomena in the Landau-Ginsburg Model. Canadian J. Phys. 68, 751-755.

A. M. Grundland, E. Infeld, G. Rowlands, P. Winternitz (1990): Stability Analysis for Landau-Ginsburg $\phi^{4}$-Model. J. Phys. Condens. Matter, 2, 7143-7150.

M. Skierski, A. M. Grundland, J. A. Tuszynski (1989): Analysis of the 3-Dimensional Time-dependent Landau-Ginsburg Equation. J. Phys. A: Math. Gen. 22, 3789-3808.

M. Skierski, A. M. Grundland, J. A. Tuszynski (1988): Symmetry Reduction for the 3-dimensional Landau-Ginzburg Equation. Phys. Lett. A., 4,5 133, 213-217.

A. M. Grundland, J. A. Tuszynski (1988): Multivalued Solutions of the \phi^4-Field Equations. Transition to Ergodicity and Bifurcations. Phys. Lett. A., 6, 133, 298-304.

P. Winternitz, A. M. Grundland, J. A. Tuszynski (1988): Exact Results in the 3-dimensional Landau-Ginsburg Model of Magnetic Inhomogeneities. J. Phys. C 21, 4931-4953.

A. M. Grundland, J. A. Tuszynski (1988): Symmetry Breaking and Bifurcating Solutions in the Classical Complex \phi^6-Field Theory. J. Phys. A: Math. Gen. 20, 6243-6258. 

P. Winternitz, A. M. Grundland, J. A. Tuszynski (1987): Exact Solutions of the Multidimensional Classical \phi^{6} Field Equations Obtained by Symmetry Reduction, Part I. J. Math. Phys. 28, (9), 2194-2212.

A. M. Grundland, J. A. Tuszynski, P. Winternitz (1987): New Classes of the Exact Solutions of the \phi^6 Model in 3+1 Dimensions. Phys. Lett. A 119, (7), 340-344.

M. Kalinowski, A. M. Grundland (1986): Simple Waves for Equations of Potential Nonstationary Flow of Compressible Gas. J. Math. Phys. 27, (7), 1906-1916.

G. Cieiura, A. M. Grundland (1987): Geometrical Aspects of the System |\nabla v|^2 = \alpha(v) and \nabla^2 v= \beta(v) and Applications to Nonlinear Wave Equations. Proceedings of Edinburgh Mathematical Society 9, 253-263.

A. M. Grundland, B. Lawruk (1987): Involutivity Conditions for Riemann Invariants, International J. Analysis and its Applications 7, (1), 3-31.

G. Cieciura, A. M. Grundland (1984): Certain Classes of Solutions of the Nonliear Wave Equation, J. Math. Phys. 25, (12), 3460-3469.

A. M. Grundland, J. Harnad, P. Winternitz (1984): Solution of Nonlinear Relativistically Invariant Equations Obtained by Symmetry Reduction. J. Math. Phys. 25, (4), 791-806.

A. M. Grundland, R. Zelazny (1983): Simple Waves in Quasilinear Hyperbolic Systems, Part II. Riemann Invariants for the Problem of Simple Wave interactions. J. Math. Phys. 24, (9), 2315-2329.

A. M. Grundland, R. Zelazny (1983): Simple Waves in Quasilinear Hyperbolic Systems, Part I. Theory of Simple Waves and Simple States. Examples of Applications. J. Math. Phys. 24, (9), 2305-2314.

A. M. Grundland (1983): Examples of Exact Solutions of the Nonhomogeneous Equations of Magnetohydrodynamis. Acta Geophys. Polonica 3, 4-29.

A. M. Grundland, J. Harnad, P. Winternitz (1982): Solutions of the Multidimensional Sine-Gordon Equation Obtained by Symmetry Reduction, KINAM, Revista de Fisica 4, 333-344.

M. Kalinowski, A. M. Grundland (1981): Exact Solutions of the Korteweg-de Vries Equation with a Dissipation. Lett. Math. Phys. 5, 61-65.

A. M. Grundland (1980): Nonlinear Superpositions of Simple Waves in Nonhomogeneous Systems. Polish J. of Nuclear Research, 7, 1-46.

A. M. Grundland (1975): Algebraic Properties of Nonhomogeneous Equations of Magnetohydrodynamics in the Presence of Gravitational and Coriolis Forces. Examples of Solutions, Simple States. Arch. of Mech. 27, 173-199.

A. M. Grundland (1974): Riemann Invariants for Nonhomogeneous Systems of Quasilinear Partial Differential Equations. Conditions of Involution. Bull. Pol. Sci. Ser., Sci. Tech. 4, 177-185.

A. M. Grundland (1974): Riemann Invariants for Nonhomogeneous Systems of First Order Partial Quasilinear Differential Equations, Algebraic Aspects. Examples from Gasdynamics. Arch. of Mech. 26, 271-296.

A. M. Grundland (1973): Hydrodynamic Dynamo as the Mechanism of the Terrestial Magnetic Field. Polish Geophysical Review, 26, 153-167.

A. M. Grundland (1972): Prognosis of Autoregression Scheme in Applications to the Earthquake Investigations. Polish Geophysical Re., 25, 311-313.


Papers in Refereed Conference Proceedings

A.M. Grundland, I. Yurdusen (2009), On geometric descriptions of two-dimensional surfaces associated with the $\mathbb{C}P^{N-1}$ sigma model, compte rendu de conference, NEEDS 2009, Isola Rossa, Italy.

A.M. Grundland, A.J. Hariton, L. Snobl (2009), On invariant solutions of the supersymmetric sine-Gordon equation, compte rendu de conference, NEEDS 2009, Isola Rossa, Italy.

R. Conte, A.M. Grundland et B. Huard (2009) Riemann Invariant Solutions of the Isentropic Fluid Flow Equations, Journal of Theoretical and Mathematical Physics 159, 3, 752-762.

R. Conte, A.M. Grundland, M. Musette (2007) Reduction of the Three-Wave Resonant Interaction to the Sixth Painlev\'e Equation, WSPC-Proceedings of Conf. on Asymptotic Methods in Nonlinear Wave Phenomena, Ed T. Ruggeri and M. Sammartino, World Scientific, Singapore.

A.M. Grundland et B. Huard (2007) Invariant Solutions of Hydrodynamic Type Systems, Journal of Theoretical and Mathematical Physics, 152(1): 948-962.

A. M. Grundland, A. Hariton (2005) Invariant Solutions of Models Obtained from the Nambu-Goto Action, Proceedings of 25th International Colloquium on Group Theoretical Methods in Physics, Ed. K.B. Wolf, Inst. Phys. Ser. No. 185, Mexico, 267-273.

A. M. Grundland, L. Snobl (2004) Surfaces in su(N) Algebra via CP^{N-1} Sigma Models on Minkowski Space, Proceedings of XI International Conference on Symmetry Methods in Physics, Ed. C. Burdik, O. Navratil and S. Posta, Joint Institute for Nuclear Research, Prague and Dubna, ISBN 5-9530-0069-3, p. 16.

A. M. Grundland, W. J. Zakrzewski (2004) Weierstrass Systems Based on the $CP^N-1$ Models, Proceedings of VI International Conference on Symmetry in Nonlinear Mathematical Physics, vol. 3, Ed. A. Nikitin, Institute of Mathematics of NAS of Ukraine, Kiev, 1314-1322.

A. M. Grundland, P.Picard (2004)  Invariant and Conditionally Invariant Solutions of Magnetohydrodynamic Equations in (3+1) Dimensions, Proceedings of VI International Conference on Symmetry in Nonlinear Mathematical Physics, vol. 1, Ed. A. Nikitin, Institute of Mathematics of NAS of Ukraine, Kiev, 118-125.

A. M. Grundland, W. J. Zakrzewski (2004) A Modified Weierstrass Representation for CMC-Surfaces in Multi-Dimensional Euclidean Spaces, Workshop on Symmetry in Physics in Memory of R. Sharp, Ed. P. Winternitz, CRM Proceedings and Lecture Notes in Mathematics, AMS, vol. 34, Providence RI, 77-86.

A. M. Grundland, W. J. Zakrzewski (2003) On Geometric Aspects of the Weierstrass Representations Associated with $CP^N$ Harmonic Maps, Proceedings of 24th International Colloquium on Group Theoretical Physics, Inst. Phys. Conf. Ser. No. 173 , IOP Publ. ltd. Eds, J.P. Gazeau et R. Kerner, Paris, 721-724.

A. M. Grundland,  W. J. Zakrzewski (2002) Conformal Immersion for CMC-Surfaces in 3-Dimensional Euclidean Spaces with the Same Gauss Maps Proceedings of Conf. on Nonlinear Physics: Theory and Experiment II, Eds. M. Ablowitz et al., World Scientific, Singapore, 227-236.

E. V. Ferapontov, A. M. Grundland (2001) Backlund Transformations for Different Analytic Descriptions of Constant Mean Curvature Surfaces. Proc. of Conf. on Backlund and Darboux transformations: The Geometry of Soliton Theory. CRM Proceedings and Lecture Notes Vol. 29 AMS Ed. P. Winternitz, 191-197. 

P. Bracken, A. M. Grundland (1999), Multi-Soliton Solutions of the Generalized Weierstrass-System. Proc. of Conf. Nonlinearity, Integrability and all that twenty years after NEEDS'79, Eds M. Boiti and L. Pempinelli, World Scientific. Comp, Singapore, 58-64.

A. M. Grundland, L. Martina (1997): The B\"{a}cklund Transformations and the Conditional Symmetries for the Three-Wave Resonant Interaction in Proc. 21 International Colloquium on Group Theoretical Methods in Physics, eds. H. Doebner and W. Schere, Goslar, World Scientific Comp., 1027-1031.

A. M. Grundland, G. Rideau (1995): Conditional Symmetries for 1st Order Systems of PDEs in the Context of the Clairin Method, Proc. Conf. in Honour of Guy Rideau, Eds. M. Flato and J. P. Gazeau, Kluwer Academic Publ. Comp., 167-178.

H. F. Gautrin, A. M. Grundland, L. Lalague (1993): Partially Invariant Solutions to the Fluid Dynamic Equations. Proc. of the XIX-th International Colloquium on Group Theoretical Methods in Physics, Eds. M. De Olmo and M. Santander. Annales de Fisica 
Monografias 1, Madrid, 347-350.

A. M. Grundland, M. Kovalyov, M. Sussman (1993): On the behaviour of Some Explicit Solutions of the Harmonic Maps Equations. Proc. of the XIX-th International Colloquium on Group Theoretical Methods in Physics, Eds. M. De Olmo and M. Santander. Annales de Fisica Monografias 1, Madrid, 371-374.

W. Hereman, L. Marchildon, A. M. Grundland (1993): Lie Point Symmetries of the Classical Field Theories, Proc. of the XIX-th International Colloquium on Group Theoretical Methods in Physics, Eds. M. De Olmo and M. Santander. Annales de Fisica Monografias 1, Madrid, 402-405.

A. M. Grundland (1992): Correspondence Principle for Riemann $k$-Waves. Proc. Conf. Nonlinear Evolution Equations and Dynamical Systems. Eds. M. Boiti, L. Martina, 
E. Pempinelli, World Scientific Publ. Comp., 418-426.

A. M. Grundland, P. Vassiliou (1991): Riemann Double Waves, Darboux Method and Painlev\'e Property. Proc. Conf. Painlev\'{e} transcendents, their Asymptotics and Physical Applications. Eds. D. Levi, P. Winternitz, NATO ASI Series B, Physics Vol. 278,
163-174.

A. M. Grundland, J. A. Tuszynski, P. Winternitz (1991): Analysis of the Static Spherically Symmetric Solutions of the \phi^6-Field Equation Obtained by Symmetry Reduction. Proc. Conf. Nonlinear and Chaotic Phenomena in Plasma, Solids and Fluids. Eds. J. Tuszynski, W. Rozmus, World Scientific, 70-80.

M. Skierski, J. A. Tuszynski, A. M. Grundland (1991): Free Energy Calculations of Particular Patterns for a Three-imensional Landau-Ginzburg System. Proc. Conf. Nonlinear and Chaotic Phenomena in Plasma, Solids and Fluids. Eds. J. Tuszynski, W. Rozmus, World Scientific, 199-209.

A. M. Grundland, L. Martina (1990): On Fluid Dynamics Equations from the Point of View of the Symmetry Group Reduction Method. Proc. of the Colloquium on Lie Groups and Differential Equations. Ed. V. Hussin, Plenum Publ. Comp., 180-188.

A. M. Grundland, P. Winternitz, J. A. Tuszynski (1990): Elliptic Functions and Solutions of the Landau-Ginzburg Equation. Proc. Conf. Partially Integrable Nonlinear Evolution 
Equations and their Physical Applications. Ed. R. Conte, Kluwer Academic Publ. Comp., 593-595.

J. A. Tuszynski, P. Winternitz, A. M. Grundland (1990): Applications of Nonlinear Partial Differential Equations to the Modelling of Ferromagnetic Inhomogeneities. Proc. Conf. Partially Integrable Nonlinear Evolution Equations and their Physical Applications. Eds. R. Conte, Kluwer Academic Publ. Comp., 583-585.

J. A. Tuszynski, A. M. Grundland, M. Skierski (1990): Symmetry Reduction for the Time-dependent Landau-Ginzburg Equation with Mixed Spacial Signatures. Proc. Annual Conf. of Canad. Phys. Assoc., Guelph, 329-331.

A. M. Grundland, B. Lawruk (1989): Classes of Exact Solutions for Fluid Dynamics Equations Obtained by Riemann Invariants Method. Proc. CAMS Conf. Continuum Mechanics and its Applications Eds. G. Graham, S. Malik, Hemisphere Publ. Comp., 901-903.

H. F. Gautrin, A. M. Grundland (1989): Invariance Algebra for Euler Equations. Proc. of the XVII-th International Colloquium on Group Theoretical Methods in Physics. Eds.
Y. Saint-Aubin, L. Vinet, World Scientific, 484-488.

A. M. Grundland, J. A. Tuszynski, P. Winternitz (1989): Jacobi Elliptic Solutions of the Quintic Nonlinear Klein-Gordon Equations. Proc. of the XVII-th International Colloquium on Group Theoretical Methods in Physics. Eds. Y. Saint-Aubin, L. Vinet, World Scientific, 488-492.

J. A. Tuszynski, A. M. Grundland, P. Winternitz (1989): Analysis of the Landau-Ginzburg Model for Magnetic Inhomogeneities. Proc. of the XVII-th International Colloquium on Group Theoretical Methods in Physics. Eds. Y. Saint-Aubin, L. Vinet, World Scientific, 286-290.

A. M. Grundland, J. A. Tuszynski, P. Winternitz (1987): Applications of the 3-dimensional $\phi^{6}$-Model to the Structural Phase Transitions. Proc. of the XV-th International Colloquium on Group Theoretical Methods in Physics. Eds. R. Gilmore, Plenum Publ. Comp., 589-601.

A. M. Grundland (1986): On the Behavior of Solutions of the Laplace-Beltrami Equations. Proc. Conf. Symmetry in Science II. Eds. B. Gruber, R. Lenczewski, Plenum Publ. Comp., 127-216.

A. M. Grundland (1986): Generalized Riemann Invariants. Proc. NATO Advanced Study Institute Conf. on Nonlinear Functional Analysis and Its Applications. Eds. S. P. Singh,
J. H. Burry, D. Reidell Publ. Comp. 253-276.

A. M. Grundland, J. Harnad, P. Winternitz (1984): Symmetry Reduction for Nonlinear Wave Equations in Riemannian and Pseudo-Riemannian Spaces. Proc. Conf. Wave Phenomena,
Modern Theory and Applications. Eds. C. Rogers, B. Moody, North Holland Publ. Comp., 373-390.

A. M. Grundland (1984): Riemann Invariants. Proc. Conf. Wave Phenomena, Modern Theory and Applications. Eds. C. Rogers, B. Moody, North-Holland Publ. Comp., 123-152.

A. M. Grundland, J. Harnad, P. Winternitz (1984): Subgroups of Lie Groups and Symmetry Reduction for Nonliear Partial Differential Equations. Proc. of the XII th International Colloquium on Group Theoretical Methods in Physics. Eds. G. Danardo, G. Ghirardi and T. Weber, Springer-Verlag, 114-118.

A. M. Grundland (1981): Simple Waves in Nonhomogeneous Systems. Proc. of NATO Advanced Study Institute Conf. on Nonlinear Phenomena in Physics and Biology. Ed. R. H. Enns,
D. Reidell Publ. Comp., 1-46.


Books and contributions to books

A. M. Grundland, J. Niewiadomski (1986): Elements of Continuum Mechanics. Chapter in Physics and Evolution of the Earth's Interior. Ed. R. Teisseyre, Elsevier Scientific Publishers, Amsterdam, vol. 3,4-49. (revised version of the Polish publication.)

A. M. Grundland (1986): Hypothesis of the Origin of the Internal Magnetic Field, Hydrodynamic Dynamo. Chapter in Physics and Evolution of the Earth's Interior. Ed. R. Teisseyre, Elsevier Scietific Publishers, Amsterdam, vol. 3, 476-560. (revised version of the Polish publication.)

A. M. Grundland, J. Niewiadomski (1983): Elements of Continuum Mechanics. Chapter in Physics and Evolution of the Earth's Interior (in polish). Ed. R. Teisseyre, Polish Scientific Publishers, Warsaw, vol. 2, 7-19.

A. M. Grundland (1983): Hypothesis of the Origin of the Internal Magnetic Field. Hydromagnetic Dynamo. Chapter in Physics and Evolution of the Earth's Interior (in polish). Ed. R. Teisseyre, Polish Scientific Publishers, Warsaw, vol. 2, 455-581.

A. M. Grundland, R. Zelazny (1983): Simple Waves and their Interactions in Quasilinear Hyperbolic Systems. Polish Scientific Publishers, Warsaw, 1-109.

A. M. Grundland (1979): On the Nonlinear Interaction of the Simple Waves Described by the Nonhomogeneous System of Partial Differential Equations. Chapter in Cauchy Problem for Dissipative Media, Ed. W. Kosinski, Ossolineum Publ. Comp., Wroclaw, Poland, 195-209.


Papers submitted to Refereed Journals

R. Conte, A.M. Grundland, B. Huard, Elliptic solutions of isentropic ideal compressible fluid flow in (3+1) dimensions (submitted to J. Phys. A).

A.M. Grundland, A.J. Hariton, N=2 supersymmetric extension of a hydrodynamic system (submitted to J. Math. Phys.).