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.
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Original Russian Text © M. Yu. Balakhnev, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 3, pp. 323–330.
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Balakhnev, M.Y. Integrable vector isotropic equations admitting differential substitutions of first order. Math Notes 94, 307–313 (2013). https://doi.org/10.1134/S0001434613090010
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DOI: https://doi.org/10.1134/S0001434613090010