Soliton resonance and web structure in the Davey-Stewartson system

Gino Biondini; Dmitri Kireyev; Ken Ichi Maruno

doi:10.1088/1751-8121/ac78db

Soliton resonance and web structure in the Davey-Stewartson system

Gino Biondini^*, Dmitri Kireyev, Ken Ichi Maruno

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Article number	305701
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	55
Issue number	30
DOIs	https://doi.org/10.1088/1751-8121/ac78db
Publication status	Published - 2022 Jul 29

Keywords

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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10.1088/1751-8121/ac78db

Cite this

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title = "Soliton resonance and web structure in the Davey-Stewartson system",

abstract = "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.",

keywords = "Davey-Stewartson system, soliton resonance, web structure, Wronskian technique",

author = "Gino Biondini and Dmitri Kireyev and Maruno, {Ken Ichi}",

note = "Funding Information: GB was partially supported by the National Science Foundation under Grant Number DMS-2009487. Publisher Copyright: {\textcopyright} 2022 IOP Publishing Ltd.",

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AU - Biondini, Gino

AU - Kireyev, Dmitri

AU - Maruno, Ken Ichi

PY - 2022/7/29

Y1 - 2022/7/29

N2 - 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.

AB - 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.

KW - Davey-Stewartson system

KW - soliton resonance

KW - web structure

KW - Wronskian technique

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Soliton resonance and web structure in the Davey-Stewartson system

Abstract

Keywords

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