This article is cited in 1 paper

Differential Substitutions for Vectorial Generalizations of the mKdV Equation

M. Yu. Balakhnev

Orel State University

Abstract: 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.

UDC: 517.957

Received: 12.09.2013
Revised: 16.01.2015

DOI: 10.4213/mzm10414

 English version: Mathematical Notes, 2015, 98:2, 204–209

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