Exact solutions for the quintic nonlinear Schrodinger equation with time and space modulated nonlinearities and potentials

被引：73
|
作者：
Belmonte-Beitia, Juan [1 ]
Calvo, Gabriel F.
机构：
[1] Univ Castilla La Mancha, Dept Matemat, ETS Ingn Ind, E-13071 Ciudad Real, Spain
来源：
PHYSICS LETTERS A | 2009年 / 373卷 / 04期
关键词：
Quintic nonlinear Schrodinger equations; Similarity transformations; Breathers; Quasiperiodic solutions; Bright and dark solitons;
D O I：
10.1016/j.physleta.2008.11.056
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, by means of similarity transformations. we construct explicit solutions to the quintic nonlinear Schrodinger equation with potentials and nonlinearities depending both on time and on the spatial coordinates. We present the general approach and use it to Study some examples and find nontrivial explicit solutions Such as periodic (breathers). quasiperiodic and bright and dark soliton solutions. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：448 / 453
页数：6
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