Solutions of the Discrete Nonlinear Schrodinger Equation with a Trap

被引：0
|
作者：
Likhachev, V. N. [1 ]
Vinogradov, G. A. [1 ]
机构：
[1] RAS, Emanuel Inst Biochem Phys, Moscow, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2019年 / 201卷 / 03期
关键词：
discrete nonlinear Schrodinger equation; tight-binding approximation; SOLITONS;
D O I：
10.1134/S0040577919120080
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We obtain solutions of the discrete nonlinear Schrodinger equation with an impurity center in two ways. In the first of them, we construct the wave function as a series in a certain parameter. In the second, approximate method, we obtain the wave function in the continuum limit. We compare the obtained solutions with numerical results, and the relative accuracy of the solution in the form of a series does not exceed 10(-15)in order of magnitude.
引用
收藏
页码：1771 / 1778
页数：8
相关论文
共 50 条
  • [1] Solving a Discrete Nonlinear Schrodinger Equation with a Trap
    Likhachev, V. N.
    Vinogradov, G. A.
    Erikhman, N. S.
    [J]. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY B, 2020, 14 (03) : 391 - 394
  • [2] Variational solutions for the discrete nonlinear Schrodinger equation
    Kaup, DJ
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2005, 69 (3-4) : 322 - 333
  • [3] Multiple solutions for the nonhomogeneous discrete nonlinear Schrodinger equation
    Xie, Qilin
    [J]. APPLIED MATHEMATICS LETTERS, 2019, 91 : 144 - 150
  • [4] 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
  • [5] Localized solutions of extended discrete nonlinear Schrodinger equation
    Umarov, B. A.
    Bin Ismail, Nazmi Hakim
    Hadi, Muhammad Salihi Abdul
    Hassan, T. H.
    [J]. 1ST INTERNATIONAL CONFERENCE ON APPLIED & INDUSTRIAL MATHEMATICS AND STATISTICS 2017 (ICOAIMS 2017), 2017, 890
  • [6] Solitonlike solutions of the generalized discrete nonlinear Schrodinger equation
    Hennig, D
    Rasmussen, KO
    Gabriel, H
    Bulow, A
    [J]. PHYSICAL REVIEW E, 1996, 54 (05) : 5788 - 5801
  • [7] Vortex Solutions of the Defocusing Discrete Nonlinear Schrodinger Equation
    Cuevas, J.
    James, G.
    Kevrekidis, P. G.
    Law, K. J. H.
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 135 - +
  • [8] Solutions of the Discrete Nonlinear Schrödinger Equation with a Trap
    V. N. Likhachev
    G. A. Vinogradov
    [J]. Theoretical and Mathematical Physics, 2019, 201 : 1771 - 1778
  • [9] Exact discrete soliton solutions of quintic discrete nonlinear Schrodinger equation
    Li, HM
    Wu, FM
    [J]. CHINESE PHYSICS, 2005, 14 (06): : 1069 - 1074
  • [10] CLOSED FORM SOLUTIONS TO THE INTEGRABLE DISCRETE NONLINEAR SCHRODINGER EQUATION
    Demontis, Francesco
    van der Mee, Cornelis
    [J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2012, 19 (02) : 136 - 157
12345