The Lagrangian, Self-Adjointness, and Conserved Quantities for a Generalized Regularized Long-Wave Equation

被引：0

作者：

Wei, Long ^{[1
]}

Wang, Yang ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

MODEL;

D O I：

10.1155/2014/173192

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Lagrangian and the self-adjointness of a generalized regularized long-wave equation and its transformed equation. We show that the third-order equation has a nonlocal Lagrangian with an auxiliary function and is strictly self-adjoint; its transformed equation is nonlinearly self-adjoint and the minimal order of the differential substitution is equal to one. Then by Ibragimov's theorem on conservation laws we obtain some conserved qualities of the generalized regularized long-wave equation.

引用

页数：5

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