Exact and explicit solutions to the discrete nonlinear Schrodinger equation with a saturable nonlinearity

被引:24
|
作者
Aslan, Ismail [1 ]
机构
[1] Izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkey
关键词
(G '/G)-expansion method; Discrete nonlinear Schrodinger equation; Exact solutions; DIFFERENTIAL-DIFFERENCE EQUATIONS; TRAVELING-WAVE SOLUTIONS; SINE-GORDON EQUATION; TANH-FUNCTION-METHOD; EXP-FUNCTION METHOD; DE-VRIES EQUATION; (G'/G)-EXPANSION METHOD; EVOLUTION-EQUATIONS; MATHEMATICAL PHYSICS; LATTICE;
D O I
10.1016/j.physleta.2011.10.009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze the discrete nonlinear Schrodinger equation with a saturable nonlinearity through the (G'/G)-expansion method to present some improved results. Three types of analytic solutions with arbitrary parameters are constructed; hyperbolic, trigonometric, and rational which have not been explicitly computed before. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:4214 / 4217
页数:4
相关论文
共 50 条
  • [1] Exact solutions of the saturable discrete nonlinear Schrodinger equation
    Khare, A
    Rasmussen, KO
    Samuelsen, MR
    Saxena, A
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (04): : 807 - 814
  • [2] Exact solutions of the two-dimensional discrete nonlinear Schrodinger equation with saturable nonlinearity
    Khare, Avinash
    Rasmussen, Kim O.
    Samuelsen, Mogens R.
    Saxena, Avadh
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (37)
  • [3] Thresholds for breather solutions of the discrete nonlinear schrodinger equation with saturable and power nonlinearity
    Cuevas, J.
    Eilbeck, J. C.
    Karachalios, N. I.
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2008, 21 (02) : 445 - 475
  • [4] Exact solutions for a system of two coupled discrete nonlinear Schrodinger equations with a saturable nonlinearity
    Kol, Guy Richard
    Woafo, Paul
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (11) : 5956 - 5962
  • [5] Periodic and decaying solutions in discrete nonlinear Schrodinger with saturable nonlinearity
    Pankov, Alexander
    Rothos, Vassilis
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2008, 464 (2100): : 3219 - 3236
  • [6] Envelope solution profiles of the discrete nonlinear Schrodinger equation with a saturable nonlinearity
    Yan, Zhenya
    [J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (04) : 448 - 452
  • [7] Exact solutions for the quintic nonlinear Schrodinger equation with inhomogeneous nonlinearity
    Belmonte-Beitia, Juan
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (02) : 1005 - 1009
  • [8] Exact explicit solutions of the nonlinear Schrodinger equation coupled to the Boussinesq equation
    Yao, RX
    Li, ZB
    [J]. ACTA MATHEMATICA SCIENTIA, 2003, 23 (04) : 453 - 460
  • [9] On the existence of gap solitons in a periodic discrete nonlinear Schrodinger equation with saturable nonlinearity
    Zhou, Zhan
    Yu, Jianshe
    Chen, Yuming
    [J]. NONLINEARITY, 2010, 23 (07) : 1727 - 1740
  • [10] Statistical mechanics of a discrete Schrodinger equation with saturable nonlinearity
    Samuelsen, Mogens R.
    Khare, Avinash
    Saxena, Avadh
    Rasmussen, Kim O.
    [J]. PHYSICAL REVIEW E, 2013, 87 (04):