Three-dimensional model of relativistic-invariant field theory, integrable by the Inverse Scattering Transform

S. V. Manakov, Vladimir E Zakharov

Research output: Contribution to journalArticle

44 Citations (Scopus)

Abstract

In the space-time with signature (2,2) the self-duality equations in the specific case of potentials independent of one of the coordinates are reduced to a relativistic-invariant system in the (2-1)-dimensional space-time. A general solution of this system is constructed by means of IST. A soliton solution, finite in all directions, is discussed. It is found that there is no classical scattering of both solitons and continuous spectrum waves.

Original languageEnglish (US)
Pages (from-to)247-253
Number of pages7
JournalLetters in Mathematical Physics
Volume5
Issue number3
DOIs
StatePublished - May 1981
Externally publishedYes

Fingerprint

Inverse Scattering Transform
Invariant Theory
inverse scattering
three dimensional models
Field Theory
solitary waves
Space-time
Self-duality
Three-dimensional
Continuous Spectrum
continuous spectra
Soliton Solution
General Solution
Solitons
Signature
signatures
Scattering
Invariant
scattering
Model

ASJC Scopus subject areas

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

Cite this

Three-dimensional model of relativistic-invariant field theory, integrable by the Inverse Scattering Transform. / Manakov, S. V.; Zakharov, Vladimir E.

In: Letters in Mathematical Physics, Vol. 5, No. 3, 05.1981, p. 247-253.

Research output: Contribution to journalArticle

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