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. 
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/
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