Rational solutions and interaction solutions for (2+1)-dimensional nonlocal Schrodinger equation*

被引：4

作者：

Chen, Mi ^{[1
]}

Wang, Zhen ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

CHINESE PHYSICS B | 2020年 / 29卷 / 12期

关键词：

Darboux transformation; nonlocal Schrö dinger equation; rational solutions; interaction solutions; SOLITONS;

D O I：

10.1088/1674-1056/abc165

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A chain of novel higher order rational solutions with some parameters and interaction solutions of a (2+1)-dimensional reverse space-time nonlocal Schrodinger (NLS) equation was derived by a generalized Darboux transformation (DT) which is derived by Taylor expansion and determinants. We obtained a series of higher-order rational solutions by one spectral parameter and we could get the periodic wave solution and three kinds of interaction solutions, singular breather and periodic wave interaction solution, singular breather and traveling wave interaction solution, bimodal breather and periodic wave interaction solution by two spectral parameters. We found a general formula for these solutions in the form of determinants. We also analyzed the complex wave structures of the dynamic behaviors and the effects of special parameters and presented exact solutions for the (2+1)-dimensional reverse space-time nonlocal NLS equation.

引用

页数：10

共 24 条

[1] Inverse scattering transform for the nonlocal nonlinear Schrodinger equation with nonzero boundary conditions [J].

Ablowitz, Mark J. ;

Luo, Xu-Dan ;

Musslimani, Ziad H. .

JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (01)

[2] Inverse scattering transform for the integrable nonlocal nonlinear Schrodinger equation [J].

Ablowitz, Mark J. ;

Musslimani, Ziad H. .

NONLINEARITY, 2016, 29 (03) :915-946

[3] Are rogue waves robust against perturbations? [J].

Ankiewicz, Adrian ;

Devine, N. ;

Akhmediev, Nail .

PHYSICS LETTERS A, 2009, 373 (43) :3997-4000

[4] BREAKING SOLITONS IN 2 + 1-DIMENSIONAL INTEGRABLE EQUATIONS [J].

BOGOYAVLENSKII, OI .

RUSSIAN MATHEMATICAL SURVEYS, 1990, 45 (04) :1-86

[5] NONLINEAR EVOLUTION EQUATIONS SOLVABLE BY INVERSE SPECTRAL TRANSFORM .2. [J].

CALOGERO, F ;

DEGASPERIS, A .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1977, 39 (01) :1-54

[6] Soliton molecules and mixed solutions of the (2+1)-dimensional bidirectional Sawada-Kotera equation [J].

Dong, Jiao-Jiao ;

Li, Biao ;

Yuen, Manwai .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2020, 72 (02)

[7] High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schrodinger Equations [J].

Guo, Boling ;

Ling, Liming ;

Liu, Q. P. .

STUDIES IN APPLIED MATHEMATICS, 2013, 130 (04) :317-344

[8] Nonlinear Schrodinger equation: Generalized Darboux transformation and rogue wave solutions [J].

Guo, Boling ;

Ling, Liming ;

Liu, Q. P. .

PHYSICAL REVIEW E, 2012, 85 (02)

[9] Soliton-cnoidal interactional wave solutions for the reduced Maxwell-Bloch equations [J].

Huang, Li-Li ;

Qiao, Zhi-Jun ;

Chen, Yong .

CHINESE PHYSICS B, 2018, 27 (02)

[10]

Jia M, 2009, CHINESE PHYS LETT, V26, DOI 10.1088/0256-307X/26/2/020201

← 1 2 3 →