Two-mode fifth-order KdV equations: necessary conditions for multiple-soliton solutions to exist
Two-mode fifth-order KdV equations: necessary conditions for multiple-soliton solutions to exist
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DOI：
10.1007/s11071-016-3144-z
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发表时间：
2017-02
影响因子：
5.6
通讯作者：
A. Wazwaz
中科院分区：
文献类型：
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作者：
A. Wazwaz
在这项工作中，我们建立了五阶可积Korteweg-de Vries(TfKdV)方程的两个波模。我们确定了方程存在多孤子解的非线性和色散参数的必要条件。在此条件下，我们用简化的Hirota方法求出了多孤子解。我们还考察了所发展的模型的色散关系和相移。
In this work we establish two wave modes for the integrable fifth-order Korteweg-de Vries (TfKdV) equations. We determine necessary conditions of the nonlinearity and dispersion parameters of the equation for multiple-soliton solutions to exist. We apply the simplified Hirota method to derive multiple-soliton solutions under these conditions. We also examine the dispersion relations and the phase shifts of the developed models.