PERTURBED KORTEWEG-de VRIES EQUATIONS Symmetry Analysis and Conservation Laws

被引：1

作者：

Bai, Yu-Shan ^{[1
]}

Zhang, Qi ^{[1
]}

机构：

[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot, Peoples R China

来源：

THERMAL SCIENCE | 2019年 / 23卷 / 04期

关键词：

coupled system of perturbed Korteweg-de Vries equations; approximate symmetry; approximate invariant solution; approximate conservation law; optimal system; COUPLED SYSTEM; APPROXIMATE SYMMETRIES; STABILIZATION; PRINCIPLE;

D O I：

10.2298/TSCI1904281B

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Approximate symmetries for a coupled system of perturbed Korteweg-de Vries equations with small parameters are constructed by applying the method of approximate transformation groups. The optimal system of the presented approximate symmetries and a few approximate invariant solutions to the coupled system are obtained. Moreover, approximate conservation laws are constructed by using the partial Lagrangian method.

引用

页码：2281 / 2289

页数：9

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