Construction of conservation laws for the Gardner equation,Landau-Ginzburg-Higgs equation,and Hirota-Satsuma equation

Cheng Chen ¹Faiza Afzal ¹Yufeng Zhang²

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作者信息

1. School of Mathematics,China University of Mining and Technology,Xuzhou,221116,China
2. School of Mathematics,China University of Mining and Technology,Xuzhou,221116,China;Jiangsu Center for Applied Mathematics(CUMT),Xuzhou,Jiangsu 221116,China
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Abstract

In this paper,two different methods for calculating the conservation laws are used,these are the direct construction of conservation laws and the conservation theorem proposed by Ibragimov.Using these two methods,we obtain the conservation laws of the Gardner equation,Landau-Ginzburg-Higgs equation and Hirota-Satsuma equation,respectively.

Key words

conservation laws/Landau-Ginzburg-Higgs equation/Hirota-Satsuma equation/Gardner equation

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基金项目

国家自然科学基金(12371256 & 11971475)

出版年

2024

理论物理通讯(英文版)

中国科学院理论物理研究所中国物理学会

理论物理通讯(英文版)

CSTPCD

影响因子：0.333

ISSN：0253-6102

参考文献量35

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