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

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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.

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Authors and Affiliations

  1. L.D. Landau Institute for Theoretical Physics, V-334, Moscow, USSR

    S. V. Manakov & V. E. Zakharov

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  1. S. V. Manakov
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  2. V. E. Zakharov
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Manakov, S.V., Zakharov, V.E. Three-dimensional model of relativistic-invariant field theory, integrable by the Inverse Scattering Transform. Lett Math Phys 5, 247–253 (1981). https://doi.org/10.1007/BF00420705

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  • DOI: https://doi.org/10.1007/BF00420705

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