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
DOI: 10.12677/AAM.2018.71010, PDF,    国家自然科学基金支持
作者: 王 鑫：海南大学信息科学技术学院，海南 海口
关键词: RLW-Burgers方程；变系数Bernoulli方程；G展开法；精确解；RLW-Burgers Equation； Variable Coefficient Bernoulli Equation； G Expansion Method； Exact Solutions
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。
Abstract: 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.
文章引用：王鑫. 满足变系数方程的G展开法及RLW-Burgers方程的新精确解[J]. 应用数学进展, 2018, 7(1): 80-90. https://doi.org/10.12677/AAM.2018.71010

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