Exact Solutions for a Class of Nonlinear PDE with Variable Coefficients Using ET and ETEM

• 作者: Hanze Liu Lina Chang Shifei Sun
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: EQUIVALENCE Transformation EXTEND trial EQUATION Method Higher Order Partial Differential EQUATION TRAVELLING Wave Solution
• 年，卷（期）: 2019,（11）
• 页码范围: 2685-2700
• 页数: 16页
• 分类号: O17

摘要

In this article, by using the modified CK direct method, we give a relationship between the generalized fifth-order KDV equations with variable coefficients and the corresponding constant coefficients ones. Then, we construct the abundant travelling solutions by the extended trial equation method (ETEM) in terms of different functions, such as the elliptic functions, rational functions, hyperbolic functions and trigonometric functions. The extended trial equation method is powerful and can be used to other partial differential equations and more research can be done by this method.