Conservation laws and exact solutions of a Generalized Benjamin-Bona-Mahony-Burgers equation

被引：18

作者：

Bruzon, M. S. ^{[1
]}

Garrido, T. M. ^{[1
]}

de la Rosa, R. ^{[1
]}

机构：

[1] Univ Cadiz, Dept Math, Cadiz, Spain

来源：

CHAOS SOLITONS & FRACTALS | 2016年 / 89卷

关键词：

Partial differential equations; Nonlinear self-adjointness; Multipliers; Conservation laws; Exact solutions; PARTIAL-DIFFERENTIAL EQUATIONS; DIRECT CONSTRUCTION; SYMMETRY ANALYSIS; LIE SYMMETRIES; SYSTEM;

D O I：

10.1016/j.chaos.2016.03.034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of nonlinear self-adjointness given by Ibragimov is applied to a Generalized Benjamin-Bona-Mahony-Burgers equation. Then, a nonlinear self-adjoint classification has been achieved. Moreover, some nontrivial conservation laws are constructed by using the multipliers method which does not require the use of a variational principle. Finally, by applying the modified simplest equation method we derive new travelling wave solutions. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：578 / 583

页数：6

共 26 条

[1] Direct construction method for conservation laws of partial differential equations - Part I: Examples of conservation law classifications [J].