N-soliton solutions for the nonlocal two-wave interaction system via the Riemann–Hilbert method

作     者：Si-Qi Xu Xian-Guo Geng 徐思齐;耿献国

作者机构：School of Mathematics and StatisticsZhengzhou UniversityZhengzhou 450001China College of Civil EngineeringXinyang Normal UniversityXinyang 464000China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2018年第27卷第12期

页      面：157-163页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11331008 and 11522112) 

主　　题：nonlocal two-wave interaction system Riemann–Hilbert problem N-soliton solutions 

摘      要：In this paper, a nonlocal two-wave interaction system from the Manakov hierarchy is investigated via the Riemann–Hilbert approach. Based on the spectral analysis of the Lax pair, a Riemann–Hilbert problem for the nonlocal two-wave interaction system is constructed. By discussing the solutions of this Riemann–Hilbert problem in both the regular and nonregular cases, we explicitly present the N-soliton solution formula of the nonlocal two-wave interaction system. Moreover,the dynamical behaviour of the single-soliton solution is shown graphically.