Conservation Laws and Darboux Transformation for Sharma-Tasso-Olver Equation

Conservation Laws and Darboux Transformation for Sharma-Tasso-Olver Equation

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摘要 A hierarchy of new nonlinear evolution equations associated with a 2 x 2 matrix spectral problem is derived. One of the nontrivial equations in this hierarchy is the famous Sharma-Tasso-Olver equation. Then infinitely many conservation laws of this equation are deduced. Darboux transformation for the Sharma-Tasso-Olver equation is constructed with the aid of a gauge transformation.

作者薛波吴晨明

机构地区 Department of Mathematics

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第9期317-322,共6页 理论物理通讯（英文版）

基金 Supported by National Natural Science Foundation of China under Grant Nos.11171312 and 11126308 Science and Technology Research Key Projects of the Education Department of Henan Province under Grant No.12A110023

关键词 Sharma-Tasso-Olver equation infinitely many conservation laws Darboux transformation ex-plicit solution 方程推导达布变换 Darboux变换塔法律保护 2×2矩阵层次结构

分类号 O241.7 [理学—计算数学]

作者简介 Corresponding author:薛波,E-mail:xuebo@zzu.edu.cn.

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Communications in Theoretical Physics

2012年第9期

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Conservation Laws and Darboux Transformation for Sharma-Tasso-Olver Equation

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