Solitary waves under the influence of a long-wave mode

DOI10.1016/0167-2789(95)00282-0zbMath0885.35120arXivpatt-sol/9502006OpenAlexW3101961761MaRDI QIDQ1910492

Hermann Riecke

Publication date: 10 April 1996

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

Full work available at URL: https://arxiv.org/abs/patt-sol/9502006

zbMATH Keywords

nonlinear Schrödinger equationsolitonspulsesGinzburg-Landau equationsdissipative and dispersive perturbationslocalized wave trains

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stochastic analysis applied to problems in fluid mechanics (76M35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items (6)

Traveling fronts of a real supercritical Ginzburg-Landau equation coupled by a slow diffusion ⋮ Pulses in a complex Ginzburg-Landau system: Persistence under coupling with slow diffusion ⋮ Traveling and spiral waves for sequential flames with translation symmetry: coupled CGL-Burgers equations ⋮ Unstable periodic solution controlling collision of localized convection cells in binary fluid mixture ⋮ Amplitude equations for description of chemical reaction-diffusion systems ⋮ Geometric singular perturbation theory in biological practice

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