Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion

DOI10.1002/cpa.21828zbMath1427.35230arXiv1801.00420OpenAlexW2963987202WikidataQ127920017 ScholiaQ127920017MaRDI QIDQ5204887

Benjamin Harrop-Griffiths, Jeremy L. Marzuola, Pierre Germain

Publication date: 5 December 2019

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.00420

zbMATH Keywords

existence and uniquenesstraveling wave solutionsKorteweg-de Vries (KdV) equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Traveling wave solutions (35C07) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion ⋮ Local well-posedness for a quasilinear Schroedinger equation with degenerate dispersion ⋮ On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I: Illposedness near degenerate stationary solutions ⋮ Global solutions of quasi-linear Hamiltonian mKdV equation ⋮ Stability and interaction of compactons in the sublinear KdV equation ⋮ Well-posedness of fully nonlinear KdV-type evolution equations ⋮ On the stability of the compacton waves for the degenerate KdV and NLS models

This page was built for publication: Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion