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

被引：4

作者：

Liu, Han-Ze ^{[1
]}

Zhang, Li-Xiang ^{[1
]}

机构：

[1] Liaocheng Univ, Sch Math Sci, Liaocheng 252059, Peoples R China

来源：

CHINESE PHYSICS B | 2018年 / 27卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Painleve test; integrability classification; Lax pair; truncated expansion; exact solution; TRAVELING-WAVE SOLUTIONS; BACKLUND TRANSFORMATION; PAINLEVE PROPERTY;

D O I：

10.1088/1674-1056/27/4/040202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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 Painleve 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

页数：6

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