Travelling waves of discrete nonlinear Schrodinger equations with nonlocal interactions

被引：14

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

页码：1387 / 1411

页数：25

共 42 条

[31] Solitons in anharmonic chains with power-law long range interactions [J].