Single-peak solitary wave solutions for the generalized Korteweg-de Vries equation

被引：6
作者：
Ma, Lilin [1 ]
Li, Hong [2 ]
Ma, Jun [2 ]
机构：
[1] Jiujiang Univ, Ctr Informat Technol, Jiujiang 332005, Peoples R China
[2] Jiujiang Univ, Dept Math, Jiujiang 332005, Peoples R China
来源：
NONLINEAR DYNAMICS | 2015年 / 79卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Generalized KdV equation; Single-peak solitary wave; Solitary wave; Cuspon; 5TH-ORDER KDV EQUATION; SOLITONS; DISPERSION; SMOOTH;
D O I：
10.1007/s11071-014-1668-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The qualitative theory of differential equations is applied to the generalized Korteweg-de Vries (KdV) equation. Smooth, peaked and cusped solitary wave solutions of the generalized KdV equation under the boundary condition lim(x ->+/-infinity) u = A (A is a constant) are obtained. The parametric conditions of existence of the smooth, peaked and cusped solitary wave solutions are given using the phase portrait analytical technique. Asymptotic analysis is provided for smooth, peaked and cusped solitary wave solutions of the generalized KdV equation.
引用
收藏
页码：349 / 357
页数：9
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