Integrability classification and exact solutions to generalized variable-coefficient nonlinear evolution equation

被引：0

作者：

刘汉泽 ^{[1
]}

张丽香 ^{[1
]}

机构：

[1] School of Mathematical Sciences,Liaocheng University

来源：

ChinesePhysicsB | 2018年 / 27卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Painlevé; test; integrability classification; Lax pair; truncated expansion; exact solution;

D O I：

暂无

中图分类号：

O411 [物理学的数学方法];

学科分类号：

0701 ;

摘要：

This paper is concerned with the generalized variable-coefficient nonlinear evolution equation(vc-NLEE).The complete integrability classification is presented,and the integrable conditions for the generalized variable-coefficient equations are obtained by the Painlev′e analysis.Then,the exact explicit solutions to these vc-NLEEs are investigated by the truncated expansion method,and the Lax pairs(LP) of the vc-NLEEs are constructed in terms of the integrable conditions.

引用

页码：142 / 147

页数：6

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