Geodesic
Differential Substitutions for Vectorial Generalizations of the mKdV Equation
Matematičeskie zametki, Tome 98 (2015) no. 2, pp. 173-179

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Differential substitutions of arbitrary order for vectorial generalizations of the mKdV equation are considered. The fact that these equations admit only substitutions of the form $\boldsymbol u=F(\boldsymbol v,\boldsymbol v_x)$ is established.
Keywords: mKdV equation, vectorial generalization for the mKdV equation, differential substitution, Bäcklund transformation. 
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     author = {M. Yu. Balakhnev},
     title = {Differential {Substitutions} for {Vectorial} {Generalizations} of the {mKdV} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_2_a1/}
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M. Yu. Balakhnev. Differential Substitutions for Vectorial Generalizations of the mKdV Equation. Matematičeskie zametki, Tome 98 (2015) no. 2, pp. 173-179. http://geodesic.mathdoc.fr/item/MZM_2015_98_2_a1/