满足变系数方程的G展开法及RLW-Burgers方程的新精确解  

The G Expansion Method of Satisfying a Variable Coefficient Equation and New Exact Solutions of Rlw-Burgers Equation

作　　者：王鑫[1] 

机构地区：[1]海南大学信息科学技术学院,海南海口

出　　处：《应用数学进展》2018年第1期80-90,共11页Advances in Applied Mathematics

基　　金：国家自然科学基金(11601109);海南省自然科学基金(117066)。

摘　　要：本文借鉴(G'/G)展开法的基本思路,构造了一类新的G展开法,并令其中的函数G满足一类变系数Bernoulli方程。用此法对RLW-Burgers方程进行了求解,得到了该方程的多个新的显式行波解。事实证明,这类满足变系数方程的G展开法对于求解非线性偏微分方程的精确解是有效可行的。Based on the basic idea of the (G'/G) expansion method, we construct a kind of New G method, and make the function G satisfy a class of variable coefficient Bernoulli equation. The RLW-Burgers equation is solved by this method, and several new explicit traveling wave solutions of the equation are obtained. It has been proved that this kind of satisfying variable coefficient equation G expansion method for solving nonlinear partial differential equations solutions is feasible and effective.

关 键 词：RLW-BURGERS方程 变系数Bernoulli方程 G展开法 精确解 

分 类 号：O1[理学—数学]