Construction of conservation laws for the Gardner equation, Landou-Ginburg-Higgss equation, and Hirota-Satsuma equation

Pub Date : 2024-01-02 DOI:10.1088/1572-9494/ad19d6
Chengmin Chen, Faiza Afzal, Yufeng Zhang
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Abstract

In this paper, two different methods for calculating the conservation laws are used, which are the direct construction of conservation laws and the conservation laws proposed by Ibragimov. Using the above two methods, we obtain the conserva tion laws of Gardner equation, Landou-Ginburg-Higgss equation and Hirota-Satsuma equation, respectively.
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构建加德纳方程、朗杜-金伯格-希格斯方程和广田-萨摩方程的守恒定律
本文采用了两种不同的计算守恒定律的方法,即直接构造守恒定律和伊布拉吉莫夫提出的守恒定律。利用上述两种方法,我们分别得到了 Gardner 方程、Landou-Ginburg-Higgss 方程和 Hirota-Satsuma 方程的守恒律。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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