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

Xin Xiangpeng; Liu Yutang; Liu Xiqiang

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

机译：耦合的Hirota方程的非局部对称性，精确解和守恒律

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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.

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《Applied mathematics letters》 |2016年第null期|共9页
作者
Xin Xiangpeng; Liu Yutang; Liu Xiqiang;
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正文语种 eng
中图分类应用数学;
关键词
Nonlocal symmetry; Exact solution; Nonlocal conservation laws;

机译：非局部对称;精确解;非局部守恒律;

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1. Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations [J] . Xin Xiangpeng, Liu Yutang, Liu Xiqiang Applied mathematics letters . 2016,第Null期

机译：耦合的Hirota方程的非局部对称性，精确解和守恒律
2. On symmetries, conservation laws and exact solutions of the nonlinear Schrodinger-Hirota equation [J] . Akbulut Arzu, Tascan Filiz Waves in random and complex media . 2018,第2期

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3. Multidimensional partial differential equation systems: Nonlocal symmetries, nonlocal conservation laws, exact solutions [J] . Cheviakov AF, Bluman GW Journal of Mathematical Physics . 2010,第10期

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4. On the Nonlocal Symmetries, Group Invariant Solutions and Conservation Laws of the Equations of Nonlinear Dynamical Compressible Elasticity [C] . G. W. Bluman, A. R. Cheviakov, J. F. Ganghoffer IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics . 2009

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

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