Travelling waves of discrete nonlinear Schrodinger equations with nonlocal interactions

被引：13
|
作者：
Feckan, Michal [1 ,2 ]
Rothos, Vassilis M. [3 ]
机构：
[1] Comenius Univ, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia
[2] Slovak Acad Sci, Math Inst, Bratislava 81473, Slovakia
[3] Aristotle Univ Thessaloniki, Fac Engn, Sch Math Phys & Computat Sci, Thessaloniki 54124, Greece
来源：
APPLICABLE ANALYSIS | 2010年 / 89卷 / 09期
关键词：
nonlocal interactions; discrete Schrodinger equation; travelling wave; symmetry; LATTICE DYNAMICAL-SYSTEMS; HAMILTONIAN-SYSTEMS; SOLITONS; LOCALIZATION; BREATHERS; EXISTENCE; PATTERNS; PULSES; ARRAYS;
D O I：
10.1080/00036810903208130
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Existence and bifurcation results are derived for quasi periodic travelling waves of discrete nonlinear Schrodinger equations with nonlocal interactions and with polynomial-type potentials. Variational tools are used. Several concrete nonlocal interactions are studied as well.
引用
下载
收藏
页码：1387 / 1411
页数：25
相关论文
共 50 条
  • [31] Nonintegrable spatial discrete nonlocal nonlinear schrodinger equation
    Ji, Jia-Liang
    Xu, Zong-Wei
    Zhu, Zuo-Nong
    CHAOS, 2019, 29 (10)
  • [32] Statistical Solution for the Nonlocal Discrete Nonlinear Schrodinger Equation
    Li, Congcong
    Li, Chunqiu
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (03)
  • [33] Discrete solitons for periodic discrete nonlinear Schrodinger equations
    Mai, Ali
    Zhou, Zhan
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 222 : 34 - 41
  • [34] Gram determinant solutions to nonlocal integrable discrete nonlinear Schrodinger equations via the pair reduction
    Chen, Junchao
    Feng, Bao-Feng
    Jin, Yongyang
    WAVE MOTION, 2020, 93
  • [35] Peregrine Solitons of the Higher-Order, Inhomogeneous, Coupled, Discrete, and Nonlocal Nonlinear Schrodinger Equations
    Uthayakumar, T.
    Al Sakkaf, L.
    Al Khawaja, U.
    FRONTIERS IN PHYSICS, 2020, 8
  • [36] DARK SOLITARY WAVES IN NONLOCAL NONLINEAR SCHRODINGER SYSTEMS
    Usero, David
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2011, 4 (05): : 1327 - 1340
  • [37] Solitons, breathers and rogue waves in the coupled nonlocal reverse-time nonlinear Schrodinger equations
    Wang, Xin
    Li, Chuanzhong
    JOURNAL OF GEOMETRY AND PHYSICS, 2022, 180
  • [38] ORBITAL INSTABILITY OF STANDING WAVES FOR THE GENERALIZED 3D NONLOCAL NONLINEAR SCHRODINGER EQUATIONS
    Gan, Zaihui
    Guo, Boling
    Jiang, Xin
    ACTA MATHEMATICA SCIENTIA, 2015, 35 (05) : 1163 - 1188
  • [39] Asymptotic reductions and solitons of nonlocal nonlinear Schrodinger equations
    Horikis, Theodoros P.
    Frantzeskakis, Dimitrios J.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2016, 49 (20)
  • [40] Shock waves in the discrete nonlinear Schrodinger equation
    Salerno, M
    NEW PERSPECTIVES IN THE PHYSICS OF MESOSCOPIC SYSTEMS: QUANTUM-LIKE DESCRIPTIONS AND MACROSCOPIC COHERENCE PHENOMENA, 1997, : 264 - 272
12345