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推广Riccati函数展开法求Burgers方程新的精确解
引用本文:马云峰.推广Riccati函数展开法求Burgers方程新的精确解[J].辽东学院学报(自然科学版),2014(3):211-213.
作者姓名:马云峰
作者单位:青岛理工大学琴岛学院基础部,山东青岛266033
摘    要:文章应用推广方程法Riccati函数展开法求Burgers方程的解,获得了Burgers方程一系列新形式的精确行波解,这些解包括三角函数解、双曲函数解。并借助于Matlab对精确解进行数值模拟,得到精确解的直观表示。

关 键 词:Burgers方程  推广Riccati函数展开法  精确解

A New Exact Solution for Burgers Equation with Extended Riccati Function Space
Affiliation:MA Yun - Feng (Department of Fundamental Courses, Qindao College of Qingdao Technological University, Qingdao 266033, China)
Abstract:A series of new - form exact travelling wave solution for Burgers equation, including solutions with trigonometric func- and solutions with hyperbolic functions, were found with extended Riccati function are given. Besides, by simulating with Matlab, visual representation of these exact solutions is obtained by the numerical simulation.
Keywords:Burgers equation  extended Riccati function method  exact solution
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