Stability of periodic nonlinear Schrödinger equation

In this manuscript, we study the existence of steady states of the periodic nonlinear Schrödinger equation in dimension one and we prove the stability of the solutions with initial data close to the ground state profile, when the potential parameter σ is small enough. © 2007 Elsevier Ltd. All rights...

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Guardado en:
Detalles Bibliográficos
Autor principal: Borgna, J.P.
Formato: JOUR
Materias:
Ground states existence
Orbital stability
Perturbation method
Ground state
Dinger equations
Nonlinear
Periodic
Potential parameters
Steady states
Nonlinear equations
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0362546X_v69_n12_p4252_Borgna
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:In this manuscript, we study the existence of steady states of the periodic nonlinear Schrödinger equation in dimension one and we prove the stability of the solutions with initial data close to the ground state profile, when the potential parameter σ is small enough. © 2007 Elsevier Ltd. All rights reserved.

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