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pro vyhledávání: '"Meshkov, A. G."'
Autor:
Meshkov, A. G., Sokolov, V. V.
All non-equivalent integrable evolution equations of the fifth order of the form $u_t=D_x\frac{\delta H}{\delta u}$ are found.
Externí odkaz:
http://arxiv.org/abs/1406.5916
Autor:
Meshkov, A. G., Sokolov, V. V.
All non-equivalent integrable evolution equations of third order of the form $u_t=D_x\frac{\delta H}{\delta u}$ are found.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1401.6844
Autor:
Meshkov, A. G., Sokolov, V. V.
Publikováno v:
Ufa Mathematical Journal 4 N3 (2012) 104-153
The survey provides classification results for integrable one-field evolution equations of orders 2, 3 and 5 with the constant separant. The classification is based on necessary integrability conditions following from the existence of the formal recu
Externí odkaz:
http://arxiv.org/abs/1302.6010
Autor:
Meshkov, A. G., Sokolov, V. V.
A complete list of nonlinear one-field hyperbolic equations having generalized integrable x- and y-symmetries of the third order is presented. The list includes both sin-Gordon type equations and equations linearizable by differential substitutions.
Externí odkaz:
http://arxiv.org/abs/0912.5092
Autor:
Meshkov, A. G.
Nonlocal symmetries for exactly integrable two-field evolutionary systems of the third order have been computed. Differentiation of the nonlocal symmetries with respect to spatial variable gives a few nonevolutionary systems for each evolutionary sys
Externí odkaz:
http://arxiv.org/abs/0803.1425
Publikováno v:
SIGMA 4 (2008), 018, 29 pages
A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them. Exampl
Externí odkaz:
http://arxiv.org/abs/0802.1253
Autor:
Meshkov, A. G.1 (AUTHOR) anatolmeshkov@yandex.ru, Balakhnev, M. Yu.1 (AUTHOR)
Publikováno v:
Mathematical Notes. Aug2022, Vol. 112 Issue 1/2, p93-99. 7p.
Publikováno v:
SIGMA 1 (2005), 027, 11 pages
V.V. Sokolov's modifying symmetry approach is applied to anisotropic evolution equations of the third order on the n-dimensional sphere. The main result is a complete classification of such equations. Auto-B\"acklund transformations are also found fo
Externí odkaz:
http://arxiv.org/abs/nlin/0512032
Autor:
Demskoy, D. K., Meshkov, A. G.
The symmetry classification method is applied to the string-like scalar fields in two-dimensional space-time. When the configurational space is three-dimensional and reducible we present the complete list of the systems admiting higher polynomial sym
Externí odkaz:
http://arxiv.org/abs/solv-int/9909005
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