| 扩展双曲正切函数法求解两类非线性波动方程的精确解 |
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| 引用本文： | 王斌.扩展双曲正切函数法求解两类非线性波动方程的精确解[J].湖南城市学院学报(自然科学版),2006,15(3):37-39. |
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| 作者姓名： | 王斌 |
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| 作者单位： | 常德广播电视大学,物理系,湖南,常德,415918 |
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| 摘 要： | 基于齐次平衡方法的思想，利用扩展双曲正切函数变换方法获得了具有色散项的长波方程组和具有5次强非线性项的波方程的精确解．这种方法还能用采求解更多的非线性数学物理方程或方程组．
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| 关 键 词： | 扩展双曲正切函数变换 色散长波方程组 5次强非线性波方程 精确解 |
| 文章编号： | 1672-7304（2006）03-0037-03 |
| 收稿时间： | 2006-03-29 |
| 修稿时间： | 2006-03-29 |
Exact Solutions of Two Nonlinear Wave Equations by Using Extended Tanh-function Transform Method |
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| WANG Bin.Exact Solutions of Two Nonlinear Wave Equations by Using Extended Tanh-function Transform Method[J].Journal of Hunan City University:Natural Science,2006,15(3):37-39. |
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| Authors: | WANG Bin |
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| Institution: | Department of Physics, Changde Broadcast and TV University, Changde, Hunan 415918, China |
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| Abstract: | The exact solutions of the dispersive long-wave equation and nonlinear wave equation with fifth-order strong nonlinear term are obtained by using extended tanh-function transform method based on the idea of the homogeneous balance method. The method can also be applied to solve more nonlinear mathematical physics equation or equations. |
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| Keywords: | Extended tanh-function method dispersive long-wave equations fifth-order strong nonlinear term wave equation exact solutions |
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