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A formula of the multiplication of solutions of the Kortweg-de Vries equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

A formula of the multiplication of solutions of the Kortweg-deVries equation is proposed. With the help of the indicated formula, sets are constructed of solutions of the indicated equation. The Riccati equations are solved, which appear in the multiplication process.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukraine, Kiev

    V. I. Fushchich, V. A. Tychinin & N. I. Serov

Authors
  1. V. I. Fushchich
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  2. V. A. Tychinin
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  3. N. I. Serov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 5, pp. 716–719, May, 1992.

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Fushchich, V.I., Tychinin, V.A. & Serov, N.I. A formula of the multiplication of solutions of the Kortweg-de Vries equations. Ukr Math J 44, 649–651 (1992). https://doi.org/10.1007/BF01056707

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  • DOI: https://doi.org/10.1007/BF01056707

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