Mixed soliton solutions of the defocusing nonlocal nonlinear Schrodinger equation

PHYSICA D-NONLINEAR PHENOMENA

卷:390

Article

Xu, Tao^1,2  Lan, Sha²  Li, Min³  Li, Ling-Ling²  Zhang, Guo-Wei² 

[1] China Univ Petr, State Key Lab Heavy Oil Proc, Beijing 102249, Peoples R China

[2] China Univ Petr, Coll Sci, Beijing 102249, Peoples R China

[3] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China

关键词: Nonlocal nonlinear Schrodinger equation;    Mixed soliton solutions;    Soliton interactions;    Darboux transformation;    Asymptotic analysis;   

DOI  :  10.1016/j.physd.2018.11.001

来源: Elsevier

【 摘 要 】

By using the Darboux transformation, we obtain two new types of exponential-and-rational mixed soliton solutions for the defocusing nonlocal nonlinear Schrodinger equation. We reveal that the first type of solution can display a large variety of interactions among two exponential solitons and two rational solitons, in which the standard elastic interaction properties are preserved and each soliton could be either the dark or antidark type. By developing the asymptotic analysis method, we also find that the second type of solution can exhibit the elastic interactions among four mixed asymptotic solitons. But in sharp contrast to the common solitons, the mixed asymptotic solitons have the t-dependent velocities and their phase shifts before and after interaction also grow with vertical bar t vertical bar in the logarithmical manner. In addition, we discuss the degenerate cases for such two types of mixed soliton solutions when the four-soliton interaction reduces to a three-soliton or two-soliton interaction. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free