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Exact self-similar and two-phase solutions of systems of semilinear parabolic equations

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Abstract

Exact single-wave and two-wave solutions of systems of equations of the Newell—Whitehead type are presented. The Painlevé test and calculations in the spirit of Hirota are used to construct these solutions.

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Authors
  1. K. A. Volosov
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  2. V. G. Danilov
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  3. A. M. Loginov
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Additional information

Moscow Institute of Electronics and Mathematics. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 101, No. 2, pp. 189–199, November, 1994.

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Volosov, K.A., Danilov, V.G. & Loginov, A.M. Exact self-similar and two-phase solutions of systems of semilinear parabolic equations. Theor Math Phys 101, 1289–1295 (1994). https://doi.org/10.1007/BF01018276

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  • DOI: https://doi.org/10.1007/BF01018276

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