| 非线性耦合KdV-mKdV方程组新的精确行波解 |
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| 引用本文： | 董长紫.非线性耦合KdV-mKdV方程组新的精确行波解[J].聊城大学学报(自然科学版),2012(1):21-24. |
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| 作者姓名： | 董长紫 |
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| 作者单位： | 陇东学院数学与统计学院 |
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| 基金项目： | 陇东学院青年科技创新项目(XYZK1109) |
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| 摘 要： | 以直接截断法为基础,构造出非线性耦合KdV-mKdV方程组的精确行波解.借助符号计算软件Maple,得到了此方程组的一些新的精确解,其中包括类孤子解和定周期解.这种方法简单明了,也可以适用于其它非线性发展方程解的计算.
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| 关 键 词： | 行波解 耦合KdV-mKdV方程组 直接截断法 |
Exact Traveling Wave Solutions of the Nonlinear Coupled KdV-mKdV Equation |
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| DONG Chang-zi.Exact Traveling Wave Solutions of the Nonlinear Coupled KdV-mKdV Equation[J].Journal of Liaocheng University:Natural Science Edition,2012(1):21-24. |
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| Authors: | DONG Chang-zi |
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| Institution: | DONG Chang-zi(School of Mathematics and Statistics,Longdong University,Qingyang 745000,China) |
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| Abstract: | The repeated direct truncation method is used to construct new exact traveling wave solutions of the nonlinear coupled KdV-mKdV equation.With the aid of Maple,many new exact traveling wave solutions are successfully obtained,which contain soliton-like and periodic-like solutions.This method is straightforward and concise,and it can be also applied to other nonlinear evolution equations. |
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| Keywords: | traveling wave solutions coupled KdV-mKdV equations direct truncation method |
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