修正Broer-Kaup-Kupershmidt方程的留数对称和相互作用解  

Residual Symmetries and Interaction Solutions for Modified Broer-Kaup-Kupershmidt Equation

作　　者：史婷婷 张顺利 SHI Tingting;ZHANG Shunli(School of Mathematics, Northwest University, Xi′an 710127,China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《郑州大学学报（理学版）》2020年第3期92-97,共6页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金项目(11775047)。

摘　　要：运用Painlevé截断展开法得到修正Broer-Kaup-Kupershmidt(MBKK)方程的非局域留数对称。通过局域化非局域对称,导出与方程Schwartzian变量相对应的有限对称变换。然后,由一致的Riccati展开(CRE)可解的性质构造MBKK方程的相互作用解。The nonlocal residual symmetries for modified Broer-Kaup-Kupershmidt(MBKK)equation were obtained with the method of the truncated Painlevéexpansion.The finite symmetry group transformations corresponding to the Schwartzian variable were derived by localizing the nonlocal symmetries.Then,the consistent Riccati expansion(CRE)solvable property was used to construct the interaction solutions of the MBKK equation.

关 键 词：修正Broer-Kaup-Kupershmidt方程 留数对称 一致的Riccati展开 相互作用解 

分 类 号：O175[理学—数学]