Letters in Mathematical Physics

, Volume 5, Issue 3, pp 247–253 | Cite as

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

  • S. V. Manakov
  • V. E. Zakharov


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.


Statistical Physic Soliton Field Theory General Solution Group Theory 
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Copyright information

© D. Reidel Publishing Company 1981

Authors and Affiliations

  • S. V. Manakov
    • 1
  • V. E. Zakharov
    • 1
  1. 1.L.D. Landau Institute for Theoretical PhysicsMoscowUSSR

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