Exact solutions of the two-dimensional discrete nonlinear Schrodinger equation with saturable nonlinearity

被引:3
|
作者
Khare, Avinash [1 ]
Rasmussen, Kim O. [2 ,3 ]
Samuelsen, Mogens R. [4 ]
Saxena, Avadh [2 ,3 ]
机构
[1] Inst Phys, Bhubaneswar 751005, Orissa, India
[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[3] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[4] Tech Univ Denmark, Dept Phys, DK-2800 Lyngby, Denmark
关键词
WAVE-GUIDE ARRAYS;
D O I
10.1088/1751-8113/43/37/375209
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that the two-dimensional, nonlinear Schrodinger lattice with a saturable nonlinearity admits periodic and pulse-like exact solutions. We establish the general formalism for the stability considerations of these solutions and give examples of stability diagrams. Finally, we show that the effective Peierls-Nabarro barrier for the pulse-like soliton solution is zero.
引用
收藏
页数:10
相关论文
共 50 条
  • [41] Two-dimensional dark soliton in the nonlinear Schrodinger equation
    Sakaguchi, Hidetsugu
    Higashiuchi, Tomoko
    PHYSICS LETTERS A, 2006, 359 (06) : 647 - 651
  • [42] Instabilities in the two-dimensional cubic nonlinear Schrodinger equation
    Carter, JD
    Segur, H
    PHYSICAL REVIEW E, 2003, 68 (04):
  • [43] Traveling wave and exact solutions for the perturbed nonlinear Schrodinger equation with Kerr law nonlinearity
    Akram, Ghazala
    Mahak, Nadia
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (06):
  • [44] Exact soliton solutions and their stability control in the nonlinear Schrodinger equation with spatiotemporally modulated nonlinearity
    Tian, Qing
    Wu, Lei
    Zhang, Jie-Fang
    Malomed, Boris A.
    Mihalache, D.
    Liu, W. M.
    PHYSICAL REVIEW E, 2011, 83 (01):
  • [45] New exact solutions to the perturbed nonlinear Schrodinger's equation with Kerr law nonlinearity
    Zhang, Zai-yun
    Liu, Zhen-hai
    Miao, Xiu-jin
    Chen, Yue-zhong
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (10) : 3064 - 3072
  • [46] 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
  • [47] Numerical solutions of two-dimensional fractional Schrodinger equation
    A. K. Mittal
    L. K. Balyan
    Mathematical Sciences, 2020, 14 : 129 - 136
  • [48] Numerical solutions of two-dimensional fractional Schrodinger equation
    Mittal, A. K.
    Balyan, L. K.
    MATHEMATICAL SCIENCES, 2020, 14 (02) : 129 - 136
  • [49] New exact travelling wave and periodic solutions of discrete nonlinear Schrodinger equation
    Yang, Q
    Dai, CQ
    Zhang, JF
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 43 (02) : 240 - 244
  • [50] Exact solutions to the integrable discrete nonlinear Schrodinger equation under a quasiscalarity condition
    Demontis, Francesco
    van der Mee, Cornelis
    COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, 2011, 2 (02):