用试探方程法求解Boussinesq方程 |
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引用本文: | 杨玉婷,崔泽建. 用试探方程法求解Boussinesq方程[J]. 渝西学院学报(自然科学版), 2012, 0(3): 5-7 |
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作者姓名: | 杨玉婷 崔泽建 |
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作者单位: | 西华师范大学数学与信息学院,四川南充637002 |
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基金项目: | 四川省教育厅自然科学重点项目基金资助(09ZA119). |
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摘 要: | 通过试探方程法求解非线性发展方程——Boussinesq方程,得到了3类精确解,即双曲正切解、正切解和指数形式解.
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关 键 词: | 试探方程法 Boussinesq方程 齐次平衡原理 |
By trial equation method to solve Boussinesq equation |
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Affiliation: | YANG Yu - ting, CUI Ze - jian ( College of Mathematics and Information, China West Normal University, Nanchong Sichuan 637002, China) |
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Abstract: | By using the trial equation method, nonlinear evolution equation - Boussinesq equation are solved. We have obtained three types of exact solutions, including tanh - solution ( coth - solution), tan - solution and exponential form solution. |
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Keywords: | trial equation method Boussinesq equation homogeneous balance principle |
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