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Orbital stability of standing waves of some m-coupled nonlinear Schrodinger equations
standing waves Orbital stability m-coupled nonlinear Schrodinger equations
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.
Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations
Nonlinear instability linearly unstable standing waves nonlinear Schrö dinger equations
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
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...