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
相关论文
共 50 条
  • [21] New Exact Solutions for High Dispersive Cubic-Quintic Nonlinear Schrodinger Equation
    Xie, Yongan
    Tang, Shengqiang
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [22] STABILITY OF EXACT SOLUTIONS OF THE CUBIC-QUINTIC NONLINEAR SCHRODINGER EQUATION WITH PERIODIC POTENTIAL
    Kengne, E.
    Vaillancourt, R.
    NONLINEAR OSCILLATIONS, 2011, 13 (04): : 569 - 583
  • [23] New exact solutions to the high dispersive cubic-quintic nonlinear Schrodinger equation
    Xie, Yingying
    Yang, Zhaoyu
    Li, Lingfei
    PHYSICS LETTERS A, 2018, 382 (36) : 2506 - 2514
  • [24] Solitons with cubic and quintic nonlinearities modulated in space and time
    Avelar, A. T.
    Bazeia, D.
    Cardoso, W. B.
    PHYSICAL REVIEW E, 2009, 79 (02):
  • [25] Quasi-periodic solutions for a Schrodinger equation with a quintic nonlinear term depending on the time and space variables
    Wang, Yi
    Liu, Jie
    Zhang, Min
    BOUNDARY VALUE PROBLEMS, 2018,
  • [26] Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrodinger equation with space-modulated potential and nonlinearities
    Yan, Zhenya
    NONLINEAR DYNAMICS, 2015, 82 (1-2) : 119 - 129
  • [27] Exact Solutions to the Nonlinear Schrodinger Equation
    Aktosun, Tuncay
    Busse, Theresa
    Demontis, Francesco
    van der Mee, Cornelis
    TOPICS IN OPERATOR THEORY, VOL 2: SYSTEMS AND MATHEMATICAL PHYSICS, 2010, 203 : 1 - +
  • [28] Nonautonomous solitary-wave solutions of the generalized nonautonomous cubic quintic nonlinear Schrodinger equation with time- and space-modulated coefficients
    He Jun-Rong
    Li Hua-Mei
    CHINESE PHYSICS B, 2013, 22 (04)
  • [29] Exact solutions of the time-dependent Schrodinger equation for pseudoharmonic potentials
    Simsek, M
    Yazar, F
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1999, 114 (01): : 87 - 92
  • [30] Study of Exact Solutions to Cubic-Quintic Nonlinear Schrodinger Equation in Optical Soliton Communication
    Liu Bin
    Ruan Hang-Yu
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 57 (05) : 731 - 736
12345