推广Riccati函数展开法求Burgers方程新的精确解  

A New Exact Solution for Burgers Equation with Extended Riccati Function Space

作　　者：马云峰[1] 

机构地区：[1]青岛理工大学琴岛学院基础部,山东青岛266033

出　　处：《辽东学院学报（自然科学版）》2014年第3期211-213,218,共4页Journal of Eastern Liaoning University:Natural Science Edition

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。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.

关 键 词：BURGERS方程 推广Riccati函数展开法 精确解 

分 类 号：O175[理学—数学]