Decay of the envelope soliton under the action of δ-kicks and a 'soliton standard map'

Research output: Contribution to journalArticle

Abstract

The dynamics of an envelope soliton under the action of δ-kicks is investigated in the framework of a nonlinear Schrodinger equation. It is shown that soliton dynamics may be described by a 'standard map' for a sufficiently large number of δ-kicks. The estimation of the soliton lifetime and radiation level is derived by means of the inverse scattering transform.

Original languageEnglish (US)
Article number023
Pages (from-to)5829-5840
Number of pages12
JournalJournal of Physics A: General Physics
Volume23
Issue number24
DOIs
StatePublished - Dec 1 1990

Fingerprint

Standard Map
Envelope
Solitons
envelopes
solitary waves
Decay
decay
Inverse Scattering Transform
Nonlinear Schrodinger Equation
inverse scattering
nonlinear equations
Lifetime
Radiation
life (durability)
radiation

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

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abstract = "The dynamics of an envelope soliton under the action of δ-kicks is investigated in the framework of a nonlinear Schrodinger equation. It is shown that soliton dynamics may be described by a 'standard map' for a sufficiently large number of δ-kicks. The estimation of the soliton lifetime and radiation level is derived by means of the inverse scattering transform.",
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Decay of the envelope soliton under the action of δ-kicks and a 'soliton standard map'. / Aranson, I. S.

In: Journal of Physics A: General Physics, Vol. 23, No. 24, 023, 01.12.1990, p. 5829-5840.

Research output: Contribution to journalArticle

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