OBTAIN HIGH DIMENSIONAL INTEGRABLE MODELS BY MEANS OF MIURA TYPE NONINVERTIBLE T RANSFORMATION

Abstract

Searching for high dimensional integrable models (especially in 3+1 dimensions) is one of the most important problems in nonlinear physics.In this paper,we esta blish a method to find some high dimensional integrable models via some noninver tible deformation relations.A noninvertible deformation relation may not only tr ansform an integrable model to a nonintegrable model,but also deform a nonintegrable model to an integrable model.Concretely,starting from a noninver-tible Miur a type transformation relation and the linear wave equation,we obtain a nontrivi al high dimensional Painleve integrable model.