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.
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页码：1387 / 1411
页数：25
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