An asymptotic solution of the Cauchy problem for the Davey-Stewartson-I equation |
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| Authors: | O M Kiselev |
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| Institution: | (1) Institute for Mathematics, Computational Center, Ural Science Center, Russian Academy of Sciences, Ufa, Russia |
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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.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 114, No. 1, pp. 104–114, January, 1998. |
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