Some extensions on the soliton solutions for the Novikov equation with cubic nonlinearity

被引：3

作者：

Pan C. ^{[1
]}

Yi Y. ^{[1
]}

机构：

[1] Department of Mathematics, South China University of Technology, Guangzhou

来源：

Journal of Nonlinear Mathematical Physics | 2015年 / 22卷 / 2期

基金：

中国国家自然科学基金;

关键词：

Bifurcation method; Smooth and nonsmooth solitons; The novikov equation; Traveling wave solutions;

D O I：

10.1080/14029251.2015.1033243

中图分类号：

学科分类号：

摘要：

In this paper, by using the bifurcation method of dynamical systems, we derive the traveling wave solutions of the nonlinear equation UUτyy -UyUτy +U2Uτ +3Uy = 0. Based on the relationship of the solutions between the Novikov equation and the nonlinear equation, we present the parametric representations of the smooth and nonsmooth soliton solutions for the Novikov equation with cubic nonlinearity. These solutions contain peaked soliton, smooth soliton, W-shaped soliton and periodic solutions. Our work extends some previous results. © 2015, Taylor and Francis Ltd. All rights reserved.

引用

页码：308 / 320

页数：12

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