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Volume 22, Issue 2, February 2015, Pages 308 - 320
Some extensions on the soliton solutions for the Novikov equation with cubic nonlinearity
Authors
Chaohong Pan
Department of Mathematics, South China University of Technology, Guangzhou, 510640, China.pan.ch@mail.scut.edu.cn
Yating Yi
Department of Mathematics, South China University of Technology, Guangzhou, 510640, China.yi.yating@mail.scut.edu.cn
Received 23 September 2014, Accepted 6 March 2015, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2015.1033243How to use a DOI?
- Keywords
- the Novikov equation; smooth and nonsmooth solitons; traveling wave solutions; bifurcation method
- Abstract
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.
- Copyright
- © 2015 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Chaohong Pan AU - Yating Yi PY - 2021 DA - 2021/01/06 TI - Some extensions on the soliton solutions for the Novikov equation with cubic nonlinearity JO - Journal of Nonlinear Mathematical Physics SP - 308 EP - 320 VL - 22 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2015.1033243 DO - 10.1080/14029251.2015.1033243 ID - Pan2021 ER -