On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations

DOI10.1007/s00220-019-03374-yzbMath1427.35224arXiv1808.08134OpenAlexW2888136665MaRDI QIDQ2008971

Enno Lenzmann, Nicola Visciglia, Jacopo Bellazzini, Vladimir Georgiev

Publication date: 26 November 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.08134

zbMATH Keywords

traveling solitary wavesnonlinear half-wave equationssquare root Klein-Gordon operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (12)

Normalized ground state traveling solitary waves for the half-wave equations with combined nonlinearities ⋮ Existence of the stable traveling wave for half-wave equation with L²-critical combined nonlinearities ⋮ Correction to: ``On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations ⋮ Existence and stability of traveling waves for semi-relativistic Schrödinger equations with van der Waals-type potentials ⋮ On unique continuation for non-local dispersive models ⋮ On the unique continuation of solutions to non-local non-linear dispersive equations ⋮ Normalized traveling solitary waves for a class of nonlinear half-wave equations ⋮ Blowup dynamics for mass critical half-wave equation in 3D ⋮ On the orbital stability of a family of traveling waves for the cubic Schrödinger equation on the Heisenberg group ⋮ A special form of solution to half-wave equations ⋮ Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations ⋮ On symmetry of traveling solitary waves for dispersion generalized NLS

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