共 21 条
[21]
ZAKHAROV VE, 1972, SOV PHYS JETP-USSR, V34, P62
EXISTENCE AND STABILITY OF TRAVELING WAVES FOR DISCRETE NONLINEAR SCHRODINGER EQUATIONS OVER LONG TIMES
被引：4
作者：
Bernier, Joackim
[1
]
Faou, Erwan
[1
]
机构：
[1] Univ Rennes, INRIA, CNRS, IRMAR,UMR 6625, F-35000 Rennes, France
关键词：
discrete nonlinear Schrodinger equation;
solitary waves;
finite differences;
continuous limit;
GROUND-STATES;
SOBOLEV-NORMS;
ORBITAL STABILITY;
SOLITARY WAVES;
GROWTH;
BOUNDS;
D O I：
10.1137/18M1186484
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the problem of existence and stability of solitary traveling waves for the one-dimensional discrete nonlinear Schrodinger equation with cubic nonlinearity, near the continuum limit. We construct a family of solutions close to the continuous traveling waves and prove their stability over long times. Applying a modulation method, we describe the dynamics near these discrete traveling waves over long times.
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页码：1607 / 1656
页数：50
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