Existence and linearized stability of solitary waves for a quasilinear Benney system

DOI10.1017/S0308210515000578zbMath1357.35076arXiv1403.0199OpenAlexW2964191548MaRDI QIDQ2832276

M. S. Figueira, João-Paulo Dias, Filipe Oliveira

Publication date: 10 November 2016

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0199

zbMATH Keywords

hyperbolic systemsdispersive equationslong wave-short wave interactions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (2)

On a coupled system of a Ginzburg–Landau equation with a quasilinear conservation law ⋮ Linear stability of shock profiles for a quasilinear Benney system in ℝ2 × ℝ+

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