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This article is cited in 2 scientific papers (total in 2 papers)
First-Order Differential Substitutions for Equations Integrable on $\mathbb S^n$
M. Yu. Balakhnev Orel State Technical University
Abstract:
We determine necessary conditions under which integrable vector evolution equations of third order admit Miura-type transformations. For equations integrable on the $n$-dimensional sphere, we obtain first-order differential substitutions.
Keywords:
vector evolution equation, Miura-type transformation, differential substitution, Bäcklund transformation, pseudosymmetry, Schwartz–KdV equation.
Received: 13.01.2009 Revised: 22.06.2010
Citation:
M. Yu. Balakhnev, “First-Order Differential Substitutions for Equations Integrable on $\mathbb S^n$”, Mat. Zametki, 89:2 (2011), 178–189; Math. Notes, 89:2 (2011), 184–193
Linking options:
https://www.mathnet.ru/eng/mzm6644https://doi.org/10.4213/mzm6644 https://www.mathnet.ru/eng/mzm/v89/i2/p178
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Abstract page: | 529 | Full-text PDF : | 165 | References: | 62 | First page: | 6 |
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