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

S. V. Manakov; V. E. Zakharov

doi:10.1007/BF00420705

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

S. V. Manakov, V. E. Zakharov

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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 language	English (US)
Pages (from-to)	247-253
Number of pages	7
Journal	Letters in Mathematical Physics
Volume	5
Issue number	3
DOIs	https://doi.org/10.1007/BF00420705
State	Published - May 1981
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF00420705

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

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.",

author = "Manakov, {S. V.} and Zakharov, {V. E.}",

year = "1981",

month = may,

doi = "10.1007/BF00420705",

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N2 - 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.

AB - 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.

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

Abstract

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