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Conjugate chains of discrete symmetries in 1+2 nonlinear equations

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Abstract

We construct dressing chains of discrete symmetries for the Kadomstsev-petviashvili equations and show that these equations admit two types of chains, which we call conjugate. We discuss the scheme of constructing dressing chains for the Boiti-Leon-Pempinelli equations. We find a nonsingular solution of these equations that is exponentially localized along some directions in the dissipative plane and is rational along other directions.

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Authors and Affiliations

  1. Kaliningrad State University, Kaliningrad, Russia

    A. V. Yurov

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  1. A. V. Yurov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 119, No. 3, pp. 419–428, June, 1999.

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Yurov, A.V. Conjugate chains of discrete symmetries in 1+2 nonlinear equations. Theor Math Phys 119, 731–738 (1999). https://doi.org/10.1007/BF02557383

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  • DOI: https://doi.org/10.1007/BF02557383

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