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

作　　者：Cheng Chen Faiza Afzal Yufeng Zhang 

机构地区：[1]School of Mathematics,China University of Mining and Technology,Xuzhou,221116,China [2]Jiangsu Center for Applied Mathematics(CUMT),Xuzhou,Jiangsu 221116,China

出　　处：《Communications in Theoretical Physics》2024年第5期49-57,共9页理论物理通讯（英文版）

基　　金：funded by the National Natural Science Foundation of China(Grant Nos.12371256&11971475)。

摘　　要：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.

关 键 词：conservation laws Landau-Ginzburg-Higgs equation Hirota-Satsuma equation Gardner equation 

分 类 号：O175[理学—数学]