几类具有变系数的KdV型方程的孤波解

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国家自然科学基金资助项目

详细信息

Solitary wave solutions for KdV equations with variable coefficients

摘要: 利用齐次平衡法研究几类具有变系数的KdV 型方程，获得了一些新的由双曲函数tanh和sech 来表示的精确的孤波解. 该方法也适用于其它的非线性演化方程.
- KdV 方程 /
- 变系数 /
- tanh-sech函数方法 /
- 齐次平衡法 /
- 孤波解
Abstract: Several exact solitary wave solutions, presented by the $\tanh$ and $\sech$ hyperbolic functions , for various KdV type equations with variable coefficients are obtained by using the homogeneous balance method. Numerical examples are given to illustrate the efficiency of the proposed method.
- KdV equation /
- variable coefficient /
- the tanh-sech /
- homogeneous balance method /
- solitary wave solution