Volume 24, Issue 2, March 2017, Pages 210 - 223
Riemann-Hilbert method and N-soliton for two-component Gerdjikov-Ivanov equation
Authors
Yongshuai Zhang
School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, The People’s Republic of China,zhyshuai@mail.ustc.edu.cn,zhyshuai@yeah.net
Yi Cheng
School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, The People’s Republic of China,chengy@ustc.edu.cn
Jingsong He*
Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, The People’s Republic of China,hejingsong@nbu.edu.cn,jshe@ustc.edu.cn
*Corresponding author.
Corresponding Author
Jingsong He
Received 4 October 2016, Accepted 28 February 2017, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2017.1313475How to use a DOI?
- Keywords
- Riemann-Hilbert problem; vector Gerdjikov-Ivanov equation; asymptotic analysis; soliton
- Abstract
We consider the Riemann–Hilbert method for initial problem of the vector Gerdjikov–Ivanov equation, and obtain the formula for its N-soliton solution, which is expressed as a ratio of (N + 1) × (N + 1) determinant and N × N determinant. Furthermore, by applying asymptotic analysis, the simple elastic interactions of N-soliton are confirmed, and the shifts of phase and position are also explicitly displayed.
- 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 - Yongshuai Zhang AU - Yi Cheng AU - Jingsong He PY - 2021 DA - 2021/01/06 TI - Riemann-Hilbert method and N-soliton for two-component Gerdjikov-Ivanov equation JO - Journal of Nonlinear Mathematical Physics SP - 210 EP - 223 VL - 24 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2017.1313475 DO - 10.1080/14029251.2017.1313475 ID - Zhang2021 ER -