Volume 25, Issue 4, July 2018, Pages 633 - 649
Riemann-Hilbert approach and N-soliton formula for a higher-order Chen-Lee-Liu equation
Authors
Juan Hu
Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, P.R. China,hujuan@lsec.cc.ac.cn
Jian Xu
College of Science, University of Shanghai for Science and Technology, Shanghai 200093, P.R. China,jianxu@usst.edu.cn
Guo-Fu Yu*
School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, P.R. China,gfyu@sjtu.edu.cn
*Corresponding author.
Corresponding Author
Guo-Fu Yu
Received 5 December 2017, Accepted 18 May 2018, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2018.1503443How to use a DOI?
- Keywords
- Higher-order Chen-Lee-Liu equation; Riemann-Hilbert method; N-soliton
- Abstract
We consider a higher-order Chen-Lee-Liu (CLL) equation with third order dispersion and quintic nonlinearity terms. In the framework of the Riemann-Hilbert method, we obtain the compact N-soliton formula expressed by determinants. Based on the determinant solution, some properties for single soliton and asymptotic analysis of N-soliton solution are explored. The simple elastic interaction of N solitons is confirmed.
- Copyright
- © 2018 The Authors. Published by Atlantis 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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TY - JOUR AU - Juan Hu AU - Jian Xu AU - Guo-Fu Yu PY - 2021 DA - 2021/01/06 TI - Riemann-Hilbert approach and N-soliton formula for a higher-order Chen-Lee-Liu equation JO - Journal of Nonlinear Mathematical Physics SP - 633 EP - 649 VL - 25 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2018.1503443 DO - 10.1080/14029251.2018.1503443 ID - Hu2021 ER -