| Whitham-Broer-Kaup-Like方程的新的行波解(英文) |
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| 引用本文： | 谭福贵.Whitham-Broer-Kaup-Like方程的新的行波解(英文)[J].内蒙古大学学报(自然科学版),2011,42(2):133-140. |
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| 作者姓名： | 谭福贵 |
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| 作者单位： | 集宁师范学院,内蒙古乌兰察布,012000 |
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| 基金项目： | Project supported by the Natural Science Foundation of Inner mongolia(No.20040802114)~~ |
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| 摘 要： | 提出了一种求解发展方程行波解的新辅助方程方法.方法中使用了较广泛的解表示式和一个变系数常微形辅助方程,并用该辅助方程方法通过求解Whitham-Broer-Kaup-Like方程统一构造了Whitham-Broer-Kaup方程,长水波近似方程,Broer-Kaup方程和变形Boussineq方程的许多新的精确行波解.
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| 关 键 词： | 推广的辅助方程方法 精确行波解 Whitham-Broer-Kaup-Like方程 |
New Exact Traveling Wave Solutions of Whitham-Broer-Kaup-Like Equation |
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| TAN Fu-gui.New Exact Traveling Wave Solutions of Whitham-Broer-Kaup-Like Equation[J].Acta Scientiarum Naturalium Universitatis Neimongol,2011,42(2):133-140. |
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| Authors: | TAN Fu-gui |
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| Institution: | TAN Fu-gui(Department of Mathematics,Jining Normal University,Wulanchabu 012000,China) |
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| Abstract: | A new auxiliary equation method for obtaining exact traveling wave solutions of evolution equations is proposed. In the method,a general form solution ans(a)tz is taken and a variable coefficient ordinary auxiliary equation is used as an auxiliary equation. Many new exact traveling wave solutions of the Whitham-Broer-Kaup equation, the approximate long water wave equation, the Broe-Kaup equation and the variant Boussineq equation are uniformly constructed through solving the Whitham-Broer-Kaup-Like equations by using the method. |
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| Keywords: | extended auxiliary equation method exact traveling wave solution Whitham-Broer-Kaup-Like equation |
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