Classification of integrable polynomial vector evolution equations Thomas Wolf (twolf@brocku.ca)
Abstract The main part of the talk will give an overview of collaborations with Vladimir Sokolov and Takayuki Tsuchida concerning the classification of integrable polynomial vector evolution equations. By restricting ourselves to homogeneous equations and symmetries the problem reduced to the solution of algebraic conditions for the coefficients in the different ansaetze made. Because equations together with their symmetries had to be determined at once the problems are nonlinear (bi-linear) and often very large with many hundred conditions for one hundred or more variables. If time permits comments are made how these systems are solved. |