This article is cited in 3 papers

Integrable Vector Isotropic Equations Admitting Differential Substitutions of First Order

M. Yu. Balakhnev

State University — Education-Science-Production Complex, Orel

Abstract: A symmetry classification of integrable vector evolution equations of third order admitting Miura-type transformations is presented. We obtain the Bäcklund autotransformation for the new equation as well as differential substitutions relating the solutions of some integrable isotropic equations.

Keywords: integrable vector isotropic equation, Miura-type transformation, symmetry classification of integrable vector evolution equations, Bäcklund autotransformation, differential substitution.

UDC: 517.957

Received: 30.03.2012
Revised: 19.10.2012

DOI: 10.4213/mzm10303

 English version: Mathematical Notes, 2013, 94:3, 307–313

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