Formula for multiplication of solutions of the Cortevegs—de Fries equations

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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Bibliographic Details
Date:1992
Main Authors: Fushchich , V. I., Tychinin , V. A., Serov , N. I., Фущич , В. И., Тычинин , В. А., Серов , Н. И.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7972
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal