Soliton solutions and their (in)stability for the focusing Davey-Stewartson II equation

Russell M. Brown, Peter A. Perry

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We give a rigorous mathematical analysis of the one-soliton solution of the focusing Davey-Stewartson II equation and a proof of its instability under perturbation. Building on the fundamental perturbation analysis of Gadyl'shin and Kiselev, we verify their Assumption 1 and use Fredholm determinants to globalize their perturbation analysis.

Original languageEnglish
Pages (from-to)4290-4325
Number of pages36
Issue number9
StatePublished - Aug 2 2018

Bibliographical note

Publisher Copyright:
© 2018 IOP Publishing Ltd & London Mathematical Society.


  • Davey-Stewartson equation
  • Solitons
  • inverse scattering

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


Dive into the research topics of 'Soliton solutions and their (in)stability for the focusing Davey-Stewartson II equation'. Together they form a unique fingerprint.

Cite this