Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

We consider the elliptic-elliptic, focussing Davey-Stewartson equations, which have an explicit bright line soliton solution. The existence of a family of periodic solitons, which have the profile of the line soliton in the longitudinal spatial direction and are periodic in the transverse spatial direction, is established using dynamical systems arguments. We also show that the line soliton is linearly unstable with respect to perturbations in the transverse direction.

Detaljer

Författare
Enheter & grupper
Externa organisationer
  • Loughborough University
  • Virginia Polytechnic Institute and State University
  • Saarland University
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematisk analys
Originalspråkengelska
Sidor (från-till)486-492
Antal sidor7
TidskriftComptes Rendus Mathématique
Volym354
Utgåva nummer5
StatusPublished - 2016 maj 1
PublikationskategoriForskning
Peer review utfördJa