Open AccessOBTAIN HIGH DIMENSIONAL INTEGRABLE MODELS BY MEANS OF MIURA TYPE NONINVERTIBLE T RANSFORMATION
Author(s) -
Lou Sen-Yue
Publication year - 2000
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.49.1657
Subject(s) - integrable system , type (biology) , physics , transformation (genetics) , mathematical physics , relation (database) , deformation (meteorology) , nonlinear system , pure mathematics , mathematics , computer science , quantum mechanics , biochemistry , chemistry , database , meteorology , gene , ecology , biology
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.