Two-soliton solution for the derivative nonlinear Schrodinger equation with nonvanishing boundary conditions

被引：9

作者：

Chen, XJ ^{[1
]}

Wang, HL ^{[1
]}

Lam, WK ^{[1
]}

机构：

[1] Jinan Univ, Dept Phys, Guangzhou 510632, Guangdong, Peoples R China

来源：

PHYSICS LETTERS A | 2006年 / 353卷 / 2-3期

基金：

中国国家自然科学基金;

关键词：

DNLS equation; solitons; nonvanishing boundary conditions;

D O I：

10.1016/j.physleta.2005.12.080

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An explicit two-soliton solution for the derivative nonlinear Schrodinger equation with nonvanishing boundary conditions is derived, demonstrating details of interactions between two bright solitons, two dark solitons, as well as one bright soliton and one dark soliton. Shifts of soliton positions due to collisions are analytically obtained, which are irrespective of the bright or dark characters of the participating solitons. (c) 2005 Elsevier B.V. All rights reserved.

引用

下载

页码：185 / 189

页数：5

共 50 条

[11] Soliton dynamics of symmetry-endowed two-soliton solutions of the nonlinear Schrodinger equation
Panoiu, NC
Mihalache, D
Mazilu, D
Crasovan, LC
Mel'nikov, IV
Lederer, F
CHAOS, 2000, 10 (03) : 625 - 640
[12] Chaotic character of two-soliton collisions in the weakly perturbed nonlinear Schrodinger equation
Dmitriev, SV
Semagin, DA
Sukhorukov, AA
Shigenari, T
PHYSICAL REVIEW E, 2002, 66 (04): : 8 - 046609
[13] General soliton solution to a nonlocal nonlinear Schrodinger equation with zero and nonzero boundary conditions
Feng, Bao-Feng
Luo, Xu-Dan
Ablowitz, Mark J.
Musslimani, Ziad H.
NONLINEARITY, 2018, 31 (12) : 5385 - 5409
[14] Inverse scattering transform for the vector nonlinear Schrodinger equation with nonvanishing boundary conditions
Prinari, Barbara
Ablowitz, Mark J.
Biondini, Gino
JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (06)
[15] DISCRETE NONLINEAR SCHRODINGER-EQUATION UNDER NONVANISHING BOUNDARY-CONDITIONS
VEKSLERCHIK, VE
KONOTOP, VV
INVERSE PROBLEMS, 1992, 8 (06) : 889 - 909
[16] ADIABATIC PERTURBATION THEORY FOR THE VECTOR NONLINEAR SCHRODINGER EQUATION WITH NONVANISHING BOUNDARY CONDITIONS
Rothos, V. M.
THEORETICAL AND MATHEMATICAL PHYSICS, 2024, 220 (01) : 1201 - 1223
[17] Perturbation of the two-soliton solution to the KdV equation
L. A. Kalyakin
V. A. Lazarev
Theoretical and Mathematical Physics, 1997, 112 : 866 - 874
[18] Perturbation of the two-soliton solution to the KdV equation
Kalyakin, LA
Lazarev, VA
THEORETICAL AND MATHEMATICAL PHYSICS, 1997, 112 (01) : 866 - 874
[19] Soliton Resolution for the Derivative Nonlinear Schrodinger Equation
Jenkins, Robert
Liu, Jiaqi
Perry, Peter
Sulem, Catherine
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 363 (03) : 1003 - 1049
[20] KAM for the derivative nonlinear Schrodinger equation with periodic boundary conditions
Liu, Jianjun
Yuan, Xiaoping
JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (04) : 1627 - 1652

← 1 2 3 4 5 →