Volume 20, Issue 1, April 2013, Pages 106 - 125
On the Discretization of the Coupled Integrable Dispersionless Equations
Authors
Luc Vinet
Centre de Recherches Mathématiques, Université de Montréal, C.P.6128, Centre-ville Station, Montréal, Québec, H3C 3J7, Canada,luc.vinet@umontreal.ca
Guo-Fu Yu
Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P.R. China
Centre de Recherches Mathématiques, Université de Montréal, C.P.6128, Centre-ville Station, Montréal, Québec, H3C 3J7, Canada,gfyu@sjtu.edu.cn
Received 4 August 2012, Accepted 18 January 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2013.792476How to use a DOI?
- Keywords
- Soliton solution; Integrable discretization; Hirota bilinear method
- Abstract
We study the integrable discretization of the coupled integrable dispersionless equations. Two semi-discrete version and one full-discrete version of the system are given via Hirota's bilinear method. Soliton solutions for the derived discrete systems are also presented.
- Copyright
- © 2013 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 - Luc Vinet AU - Guo-Fu Yu PY - 2021 DA - 2021/01/06 TI - On the Discretization of the Coupled Integrable Dispersionless Equations JO - Journal of Nonlinear Mathematical Physics SP - 106 EP - 125 VL - 20 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.792476 DO - 10.1080/14029251.2013.792476 ID - Vinet2021 ER -