A variational method for extended nonlinear Schrödinger systems

DOI10.1016/S0167-2789(01)00208-1zbMath0976.35076MaRDI QIDQ5940245

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Publication date: 2 January 2002

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

dynamical systemnonlinear Schrödinger equationsnonlinear dissipationpropagation of high-power beams in gases

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)

Related Items (5)

Existence of solutions for a nonlinear Choquard equation with potential vanishing at infinity ⋮ Adams-Moser-Trudinger inequality in the Cartesian product of Sobolev spaces and its applications ⋮ Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length ⋮ Analysis of some properties of the nonlinear Schrödinger equation used for filamentation modeling ⋮ HARMONIC BALANCE FOR NON-PERIODIC HYPERBOLIC SOLUTIONS OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

Cites Work

• Nonlinear Schrödinger equations and sharp interpolation estimates
• Local structure of the self-focusing singularity of the nonlinear Schrödinger equation
• Computer simulation of wave collapses in the nonlinear Schrödinger equation
• A modulation method for self-focusing in the perturbed critical nonlinear Schrödinger equation
• On the analytical theory for stationary self-focusing of radiation
• Blow-up in Nonlinear Schroedinger Equations-I A General Review
• Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension

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