Geodesic
Integrable Vector Isotropic Equations Admitting Differential Substitutions of First Order
Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 323-330

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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, symmetry classification of integrable vector evolution equations, Bäcklund autotransformation, differential substitution.
Mots-clés : Miura-type transformation 
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     author = {M. Yu. Balakhnev},
     title = {Integrable {Vector} {Isotropic} {Equations} {Admitting} {Differential} {Substitutions} of {First} {Order}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {323--330},
     publisher = {mathdoc},
     volume = {94},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a0/}
}
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M. Yu. Balakhnev. Integrable Vector Isotropic Equations Admitting Differential Substitutions of First Order. Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 323-330. http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a0/