Envelope solution profiles of the discrete nonlinear Schrodinger equation with a saturable nonlinearity

被引：7
|
作者：
Yan, Zhenya [1 ]
机构：
[1] Chinese Acad Sci, Inst Syst Sci, AMSS, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 04期
关键词：
Discrete nonlinear Schrodinger equation with a saturable nonlinearity; Jacobi elliptic function; Envelope solution; Dark soliton solution; ELLIPTIC FUNCTION SOLUTIONS; MODIFIED KDV EQUATION; SOLITON PROPAGATION;
D O I：
10.1016/j.aml.2008.06.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this Letter, the discrete nonlinear Schrodinger equation with a saturable nonlinearity is investigated via the extended Jacobi elliptic function expansion method. As a consequence, with the aid of symbolic computation, a variety of new envelope periodic wave solutions are obtained in terms of Jacobi elliptic functions. In particular, the discrete dark soliton solution is also given. We analyze the structures of some of the obtained solutions via the figures. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：448 / 452
页数：5
相关论文
共 50 条
  • [1] Exact and explicit solutions to the discrete nonlinear Schrodinger equation with a saturable nonlinearity
    Aslan, Ismail
    PHYSICS LETTERS A, 2011, 375 (47) : 4214 - 4217
  • [2] On the existence of gap solitons in a periodic discrete nonlinear Schrodinger equation with saturable nonlinearity
    Zhou, Zhan
    Yu, Jianshe
    Chen, Yuming
    NONLINEARITY, 2010, 23 (07) : 1727 - 1740
  • [3] Thresholds for breather solutions of the discrete nonlinear schrodinger equation with saturable and power nonlinearity
    Cuevas, J.
    Eilbeck, J. C.
    Karachalios, N. I.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2008, 21 (02) : 445 - 475
  • [4] Statistical mechanics of a discrete Schrodinger equation with saturable nonlinearity
    Samuelsen, Mogens R.
    Khare, Avinash
    Saxena, Avadh
    Rasmussen, Kim O.
    PHYSICAL REVIEW E, 2013, 87 (04):
  • [5] Exact solutions of the two-dimensional discrete nonlinear Schrodinger equation with saturable nonlinearity
    Khare, Avinash
    Rasmussen, Kim O.
    Samuelsen, Mogens R.
    Saxena, Avadh
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (37)
  • [6] Periodic and decaying solutions in discrete nonlinear Schrodinger with saturable nonlinearity
    Pankov, Alexander
    Rothos, Vassilis
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2008, 464 (2100): : 3219 - 3236
  • [7] Exact solutions of the saturable discrete nonlinear Schrodinger equation
    Khare, A
    Rasmussen, KO
    Samuelsen, MR
    Saxena, A
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (04): : 807 - 814
  • [8] Doubly periodic waves of a discrete nonlinear Schrodinger system with saturable nonlinearity
    Conte, Robert
    Chow, K. W.
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2008, 15 (04) : 398 - 409
  • [9] Nonlinear supratransmission of multibreathers in discrete nonlinear Schrodinger equation with saturable nonlinearities
    Tchameu, J. D. Tchinang
    Tchawoua, C.
    Motcheyo, A. B. Togueu
    WAVE MOTION, 2016, 65 : 112 - 118
  • [10] Multipole vector solitons in coupled nonlinear Schrodinger equation with saturable nonlinearity
    Wen, Jia-Mei
    Bo, Wen-Bo
    Wen, Xue-Kun
    Dai, Chao-Qing
    ACTA PHYSICA SINICA, 2023, 72 (10)
12345