推广Riccati函数展开法求Burgers方程新的精确解 |
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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, 0(3): 211-213 |
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作者姓名: | 马云峰 |
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作者单位: | 青岛理工大学琴岛学院基础部,山东青岛266033 |
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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。
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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 |
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Affiliation: | MA Yun - Feng (Department of Fundamental Courses, Qindao College of Qingdao Technological University, Qingdao 266033, China) |
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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. |
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Keywords: | Burgers equation extended Riccati function method exact solution |
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