Soliton resonance and web structure in the Davey-Stewartson system

Gino Biondini*, Dmitri Kireyev, Ken Ichi Maruno

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We write down and characterize a large class of nonsingular multi-soliton solutions of the defocusing Davey-Stewartson II equation. In particular we study their asymptotics at space infinities as well as their interaction patterns in the xy-plane, and we identify several subclasses of solutions. Many of these solutions describe phenomena of soliton resonance and web structure. We identify a subclass of solutions that is the analogue of the soliton solutions of the Kadomtsev-Petviashvili II equation. In addition to this subclass, however, we show that more general solutions exist, describing phenomena that have no counterpart in the Kadomtsev-Petviashvili equation, including V-shape solutions and soliton reconnection.

Original languageEnglish
Article number305701
JournalJournal of Physics A: Mathematical and Theoretical
Issue number30
Publication statusPublished - 2022 Jul 29


  • Davey-Stewartson system
  • soliton resonance
  • web structure
  • Wronskian technique

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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