Stability of solitary waves for derivative nonlinear Schrödinger equation
Mathieu Colin, Masahito Ohta (2006)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Multi solitary waves for nonlinear Schrödinger equations”
Stability of solitary waves for derivative nonlinear Schrödinger equation
On the long time behavior of KdV type equations
Nikolay Tzvetkov (2003-2004)
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In a series of recent papers, Martel and Merle solved the long-standing open problem on the existence of blow up solutions in the energy space for the critical generalized Korteweg- de Vries equation. Martel and Merle introduced new tools to study the nonlinear dynamics close to a solitary wave solution. The aim of the talk is to discuss the main ideas developed by Martel-Merle, together with a presentation of previously known closely related results.
Transverse nonlinear instability for two-dimensional dispersive models
F. Rousset, N. Tzvetkov (2009)
Annales de l'I.H.P. Analyse non linéaire
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On the inhomogeneous nonlinear Schrödinger equation with harmonic potential and unbounded coefficient
Jianqing Chen (2010)
Czechoslovak Mathematical Journal
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By deriving a variant of interpolation inequality, we obtain a sharp criterion for global existence and blow-up of solutions to the inhomogeneous nonlinear Schrödinger equation with harmonic potential We also prove the existence of unstable standing-wave solutions via blow-up under certain conditions on the unbounded inhomogeneity and the power of nonlinearity, as well as the frequency of the wave.
Blow up of the critical norm for some radial super critical non linear Schrödinger equations
Pierre Raphaël (2005-2006)
Séminaire Équations aux dérivées partielles
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