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

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.

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