Abstract
A scheme allowing systematic construction of integrable two-dimensional models of the Lorentz-invariant Lagrangian massive field theory is presented for the case when the associated linear problem is formulated onsl(2, ℂ) algebra. A natural dressing procedure is developed then for the generic system of two (either scalar or spinor) fields inherent in the scheme and an explicitN-soliton solution on zero background is calculated. Solutions of reduced systems which include both familiar and new equations are extracted from the solution of the generic system, not all of these reductions being related immediately tosl(2, ℂ) real forms. Finally, in the case of scalar equations we present the Miura-type transformations relating solutions with different boundary conditions.
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Communicated by Ya. G. Sinai
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Barashenkov, I.V., Getmanov, B.S. Multisoliton solutions in the scheme for unified description of integrable relativistic massive fields. Non-degeneratesl(2, ℂ) case. Commun.Math. Phys. 112, 423–446 (1987). https://doi.org/10.1007/BF01218485
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DOI: https://doi.org/10.1007/BF01218485