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An asymptotic solution of the Cauchy problem for the Davey-Stewartson-I equation

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Abstract

We construct and asymptotic solution of the Cauchy problem for the Davey-Stewartson-I equation as t→∞. The solution, which is of order t−1, is rapidly oscillating. The envelope of the oscillations can be defined by an integral equation.

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Authors and Affiliations

  1. Institute for Mathematics, Computational Center, Ural Science Center, Russian Academy of Sciences, Ufa, Russia

    O. M. Kiselev

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  1. O. M. Kiselev
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 114, No. 1, pp. 104–114, January, 1998.

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Kiselev, O.M. An asymptotic solution of the Cauchy problem for the Davey-Stewartson-I equation. Theor Math Phys 114, 81–89 (1998). https://doi.org/10.1007/BF02557110

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  • DOI: https://doi.org/10.1007/BF02557110

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