|
This article is cited in 1 scientific paper (total 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.
Received: 12.09.2013 Revised: 16.01.2015
Citation:
M. Yu. Balakhnev, “Differential Substitutions for Vectorial Generalizations of the mKdV Equation”, Mat. Zametki, 98:2 (2015), 173–179; Math. Notes, 98:2 (2015), 204–209
Linking options:
https://www.mathnet.ru/eng/mzm10414https://doi.org/10.4213/mzm10414 https://www.mathnet.ru/eng/mzm/v98/i2/p173
|
Statistics & downloads: |
Abstract page: | 307 | Full-text PDF : | 136 | References: | 41 | First page: | 9 |
|