吴楚芬, 翁佩萱. 几类具有变系数的KdV型方程的孤波解[J]. 华南师范大学学报（自然科学版）, 2010, (4).
引用本文: 吴楚芬, 翁佩萱. 几类具有变系数的KdV型方程的孤波解[J]. 华南师范大学学报（自然科学版）, 2010, (4).
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Solitary wave solutions for KdV equations with variable coefficients[J]. Journal of South China Normal University (Natural Science Edition), 2010, (4).
Citation: Solitary wave solutions for KdV equations with variable coefficients[J]. Journal of South China Normal University (Natural Science Edition), 2010, (4).
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几类具有变系数的KdV型方程的孤波解

Solitary wave solutions for KdV equations with variable coefficients

    摘要
  • 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.

     

    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.

     

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