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This article is cited in 3 scientific papers (total in 3 papers)
Integrable vector evolution equations admitting zeroth-order conserved densities
M. Yu. Balakhnev, A. G. Meshkov Orel State University for Technology, Orel, Russia
Abstract:
In the symmetry approach framework, we solve the problem of classifying third-order integrable vector evolution equations that have zeroth-order conserved densities. We obtain the complete list of nine equations of this form. Two equations in the list were previously unknown. We find auto-Bäcklund transformations for the new equations.
Keywords:
canonical density, integrable evolution equation, Bäcklund transformation.
Received: 27.10.2009
Citation:
M. Yu. Balakhnev, A. G. Meshkov, “Integrable vector evolution equations admitting zeroth-order conserved densities”, TMF, 164:2 (2010), 207–213; Theoret. and Math. Phys., 164:2 (2010), 1002–1007
Linking options:
https://www.mathnet.ru/eng/tmf6534https://doi.org/10.4213/tmf6534 https://www.mathnet.ru/eng/tmf/v164/i2/p207
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Abstract page: | 444 | Full-text PDF : | 181 | References: | 61 | First page: | 4 |
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