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:
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.