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Standing waves with critical frequency for nonlinear Schrodinger equations
Standing waves critical frequency nonlinear Schrodinger equations
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2015/4/3
Standing waves with critical frequency for nonlinear Schrodinger equations.
Orbital stability of standing waves of some m-coupled nonlinear Schrodinger equations
standing waves Orbital stability m-coupled nonlinear Schrodinger equations
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2011/9/14
Abstract: We extend the notion of orbital stability to systems of nonlinear Schrodinger equations, then we prove this property under suitable assumptions of the local nonlinearity involved.
Orbital stability of coupled standing waves for systems of non-linear Klein-Gordon equations
standing waves elliptic systems unbounded
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2010/12/3
In this work we consider a system of two non-linear waves equa-tions where the non-negative, non-linear term is subcritic and contains a cou-pling term. We show the existence of standing waves solutio...
Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations
Nonlinear instability linearly unstable standing waves nonlinear Schrö dinger equations
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2010/12/13
We study the instability of standing waves for nonlinear Schr¨odinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instability in any dimensi...
Localized standing waves in inhomogeneous Schrodinger equations
Localized standing waves inhomogeneous Schrodinger equations
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2010/4/2
A nonlinear Schrodinger equation arising from light propagation down an inhomogeneous medium is considered. The inhomogeneity is reflected through a non-uniform coefficient of the non-linear term in t...
STANDING WAVES OF THE DISCRETE NONLINEAR SCHR ¨O DINGER EQUATIONS WITH GROWING POTENTIALS
discrete nonlinear Schr¨odinger equation standing wave variation methods Nehari manifold
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2008/11/26
In this paper we investigate the existence of nontrivial standing wave solution of the
discrete nonlinear Schr¨odinger equation with the growing potential at infinity. Firstly
we derive a discrete v...