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.
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页数：5
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