On Peakon and Kink-peakon Solutions to a (2 + 1) Dimensional Generalized Camassa-Holm Equation
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- Camassa Holm (CH) equation, 2dgCH equation, peakon, kink-peakon
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.
- © 2017 The Authors. Published by Atlantis Press and Taylor & Francis
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- 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 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 - https://doi.org/10.1080/14029251.2016.1274113 ID - Tovar2021 ER -