Fractional solitary wave solutions of the nonlinear higher-order extended KdV equation in a stratified shear flow: Part I

被引：103

作者：

Seadawy, Aly R. ^{[1
,2
]}

机构：

[1] Taibah Univ, Fac Sci, Dept Math, Tayba, Saudi Arabia

[2] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2015年 / 70卷 / 04期

关键词：

Higher-order of extended KdV equation; Internal solitary waves solutions; Extended modified direct algebraic method; ION-ACOUSTIC-WAVES; INSTABILITIES; TURBULENCE;

D O I：

10.1016/j.camwa.2015.04.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem formulations of models for internal solitary waves in a stratified shear flow with a free surface are presented. Solitary waves solutions are generated by deriving the nonlinear higher order of extended KdV equations for the free surface displacement. All coefficients of the nonlinear higher-order extended KdV equation are expressed in terms of integrals of the modal function for the linear long-wave theory. The electric field potential and the fluid pressure in the form of traveling wave solutions of the extended KdV equation are obtained. The stability of the obtained solutions and the movement role of the waves by making the graphs of the exact solutions are discussed and analyzed. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：345 / 352

页数：8

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