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This article is cited in 2 scientific papers (total in 2 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.
Received: 30.03.2012 Revised: 19.10.2012
Citation:
M. Yu. Balakhnev, “Integrable Vector Isotropic Equations Admitting Differential Substitutions of First Order”, Mat. Zametki, 94:3 (2013), 323–330; Math. Notes, 94:3 (2013), 307–313
Linking options:
https://www.mathnet.ru/eng/mzm10303https://doi.org/10.4213/mzm10303 https://www.mathnet.ru/eng/mzm/v94/i3/p323
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Abstract page: | 532 | Full-text PDF : | 149 | References: | 52 | First page: | 14 |
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