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Asymptotics of solutions of higher-dimensional integrable equations and their perturbations

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Abstract

This paper considers asymptotics of solutions of higher-dimensional nonlinear integrable equations (such as the Kadomtsev-Petviashvili equation, the Davey-Stewartson equations, etc.) and also that of their perturbations.

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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 11, Differential Equations, 2004.

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Kiselev, O.M. Asymptotics of solutions of higher-dimensional integrable equations and their perturbations. J Math Sci 138, 6067–6230 (2006). https://doi.org/10.1007/s10958-006-0347-8

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