Two-mode fifth-order KdV equations: necessary conditions for multiple-soliton solutions to exist

被引：91

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

NONLINEAR DYNAMICS | 2017年 / 87卷 / 03期

关键词：

Fifth-order KdV equation; Dispersion relations; Multiple-soliton solutions; WAVE SOLUTIONS; NONLINEARITIES;

D O I：

10.1007/s11071-016-3144-z

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

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.

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页码：1685 / 1691

页数：7

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