The variational principle for nonlinear waves in dissipative systems

DOI10.1016/0167-2789(95)00143-RzbMath1194.35414OpenAlexW2014029032MaRDI QIDQ992394

D. J. Kaup, Boris A. Malomed

Publication date: 11 September 2010

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

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00143-r

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (8)

On the supersymmetric nonlinear evolution equations ⋮ Study of nonlinear dissipative pulse propagation under the combined effect of two-photon absorption and gain dispersion: a variational approach involving Rayleigh's dissipation function ⋮ Quantitative measurement of variational approximations ⋮ Spatiotemporal structure of pulsating solitons in the cubic-quintic Ginzburg-Landau equation: A novel variational formulation ⋮ Diversity of solitons in a generalized nonlinear Schrödinger equation with self-steepening and higher-order dispersive and nonlinear terms ⋮ A novel variational approach to pulsating solitons in the cubic-quintic Ginzburg-Landau equation ⋮ Variational solutions for the discrete nonlinear Schrödinger equation ⋮ Snake solitons in the cubic-quintic Ginzburg-Landau equation

Cites Work

• Creation of a soliton out of dissipation
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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