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中国物理学会期刊

利用Miura型不可逆变换得到高维可积模型

CSTR: 32037.14.aps.49.1657

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

CSTR: 32037.14.aps.49.1657
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  • 寻找高维可积模型(特别是3+1维可积模型)是非线性物理中的一个非常重要的问题.建立了一 种利用不可逆形变关系系统寻求高维可积模型的方法.不可逆形变既可以使可积模型成为不 可积模型,也可以使不可积模型成为可积模型.利用一种不可逆的Miura型形变关系和线性波 动方程,得到了一个非平庸的Painlevé可积的高维非线性模型.

     

    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.

     

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