Linear versus nonlinear dissipation for critical NLS equation

DOI10.1016/j.physd.2005.03.011zbMath1070.35091OpenAlexW2035233529MaRDI QIDQ556370

Catherine Sulem, Pierre-Louis Sulem, Thierry Passot

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.physd.2005.03.011

zbMATH Keywords

Nonlinear Schrödinger equationWave collapseWeak dissipation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (9)

Remarks on the damped nonlinear Schrödinger equation ⋮ Post-blowup dynamics for the nonlinear Schrödinger equation ⋮ Nonlinear-damping continuation of the nonlinear Schrödinger equation. A numerical study ⋮ On the \(L^2\)-critical nonlinear Schrödinger equation with a nonlinear damping ⋮ Monotonicity method applied to complex Ginzburg-Landau type equations ⋮ The limit behavior of solutions for the nonlinear Schrödinger equation including nonlinear loss/gain with variable coefficient ⋮ Global Well-Posedness for Cubic NLS with Nonlinear Damping ⋮ On the global existence and small dispersion limit for a class of complex Ginzburg-Landau equations ⋮ Some remarks on the nonlinear Schrödinger equation with fractional dissipation

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• Multibump, Blow-Up, Self-Similar Solutions of the Complex Ginzburg--Landau Equation

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