This article is cited in 19 papers

A class of integrable evolutionary vector equations

M. Yu. Balakhnev

Orel State University

Abstract: We present the results of classifying integrable evolutionary $N$-component vector equations and construct Bäcklund transformations for each equation as proof of the exact integrability.

Keywords: vector evolutionary equations, Bäcklund transformations.

Received: 06.04.2004
Revised: 05.05.2004

DOI: 10.4213/tmf1759

 English version: Theoretical and Mathematical Physics, 2005, 142:1, 8–14

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