Volume 24, Issue 1, December 2016, Pages 29 - 40
On Peakon and Kink-peakon Solutions to a (2 + 1) Dimensional Generalized Camassa-Holm Equation
Authors
Eric Tovar
School of Mathematical and Statistical Science, University of Texas – Rio Grande Valley, 1201 W University Dr Edinburg, TX 78539, USA,eric.tovar01@utrgv.edu
Haicheng Gu
School of Mathematical and Statistical Science, University of Texas – Rio Grande Valley, 1201 W University Dr Edinburg, TX 78539, USA,haicheng.gu01@utrgv.edu
Zhijun Qiao*
School of Mathematical and Statistical Science, University of Texas – Rio Grande Valley, 1201 W University Dr Edinburg, TX 78539, USA,zhijun.qiao@utrgv.edu
* Corresponding author.
Corresponding Author
Zhijun Qiao
Received 31 August 2016, Accepted 15 November 2016, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2016.1274113How to use a DOI?
- Keywords
- Camassa Holm (CH) equation; 2dgCH equation; peakon; kink-peakon
- Abstract
In this paper, we study a (2 + 1)-dimensional generalized Camassa-Holm (2dgCH) equation with both quadratic and cubic nonlinearity. We derive a peaked soliton (peakon) solution, double-peakon solutions, and kink-peakon solutions. In particular, weak kink - peakon solution is the first time to address in the 2 + 1-dimensional integrable system.
- Copyright
- © 2017 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/).
Cite this article
TY - JOUR AU - Eric Tovar AU - Haicheng Gu AU - Zhijun Qiao PY - 2021 DA - 2021/01/06 TI - On Peakon and Kink-peakon Solutions to a (2 + 1) Dimensional Generalized Camassa-Holm Equation JO - Journal of Nonlinear Mathematical Physics SP - 29 EP - 40 VL - 24 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1274113 DO - 10.1080/14029251.2016.1274113 ID - Tovar2021 ER -