Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations

被引：27

作者：

Xin, Xiangpeng ^{[1
]}

Liu, Yutang ^{[1
]}

Liu, Xiqiang ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 55卷

基金：

中国国家自然科学基金;

关键词：

Nonlocal symmetry; Exact solution; Nonlocal conservation laws;

D O I：

10.1016/j.aml.2015.11.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the Lax pair, nonlocal symmetries of the coupled Hirota equations are obtained. By introducing an appropriate auxiliary dependent variable, the nonlocal symmetries are successfully localized to Lie point symmetries. With the help of Lie symmetries of the closed prolongation, exact solutions and nonlocal conservation laws of the coupled Hirota equations are studied. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：63 / 71

页数：9

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