Solitary waves in dispersive evolution equations of Whitham type with nonlinearities of mild regularity

DOI10.1088/1361-6544/ab60d5zbMath1435.35108arXiv1903.03354OpenAlexW2921316271MaRDI QIDQ5216776

Fredrik Hildrum

Publication date: 20 February 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03354

zbMATH Keywords

solitary wavesnonlinear dispersive equationsWhitham-type equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear first-order PDEs (35F25) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Traveling wave solutions (35C07)

Related Items (4)

Solitons of Whitham equation with resonance dispersion ⋮ A direct construction of a full family of Whitham solitary waves ⋮ Enhanced existence time of solutions to evolution equations of Whitham type ⋮ Existence of Davey--Stewartson Type Solitary Waves for the Fully Dispersive Kadomtsev--Petviashvilii equation

Uses Software

• SpecTraVVave

Cites Work

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