Localized-wave interactions for the discrete nonlinear Schrodinger equation under the nonvanishing background

被引：18

作者：

Li, Min ^{[1
]}

Shui, Juan-Juan ^{[1
]}

Huang, Ye-Hui ^{[1
]}

Wang, Lei ^{[1
]}

Li, Heng-Ji ^{[2
]}

机构：

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

[2] Beijing Univ Posts & Telecommun, Sch Comp Sci, Beijing 100876, Peoples R China

来源：

PHYSICA SCRIPTA | 2018年 / 93卷 / 11期

基金：

中国国家自然科学基金;

关键词：

discrete nonlinear Schrodinger equation; Darboux transformation; localized-wave interactions; ROGUE WAVES; DARBOUX TRANSFORMATION; MODULATION INSTABILITY; SOLITONS; GENERATION; SYSTEM;

D O I：

10.1088/1402-4896/aae213

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, localized-wave interactions under the nonvanishing background are studied through the Darboux transformation (DT) for the discrete nonlinear Schrodinger equation. First of all, via the elementary DT, we obtain the first-order breather solution and give the parameter conditions for generating Kuznetsov-Ma breathers, Akhmediev breathers, breathers with a number of bunches and spatio-temporal breathers. Moreover, we analyze the effects of parameters on the velocity and period of the breathers. Secondly, we derive the second-order solution and discuss the dynamic behaviors of breather-breather and breather-rogue wave interactions on the nonvanishing background. Finally, via the generalized DT, we construct the equal-eigenvalue degenerate second-order breather solution, and analyze the characteristics of interactions between two breathers, which is found to be different from the ones given by the elementary DT.

引用

页数：12

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