Zobrazeno 1 - 10 of 18 pro vyhledávání: '"V. G. Mikhalev"'
1
Differential-geometric structures in the theory of two-dimensional integrable equations
Autor: V. G. Mikhalev
Publikováno v: Journal of Soviet Mathematics. 62:2987-2991
The gauge representations of the integrable generalization of the Heisenberg magnet in (2+1)-dimensional space-time are interpreted in terms of topological charge. Restrictions on the class of solutions to the equation for a two-dimensional magnet ar
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0455daaaa04fb36c8f9930bad5f2f708
https://doi.org/10.1007/bf01097497
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2
Complete integrability of the equation of an 0(3)-field in the class of rapidly decreasing functions
Autor: V. G. Mikhalev
Publikováno v: Journal of Soviet Mathematics. 59:1092-1096
The direct and inverse scattering problems for the Lax operator associated with the equation of an 0(3)-field and parametrized by a point of a complex torus are studied. The elementary excitations of an O(3)-field are classified and action-angle vari
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::17261a96dfcf67d0dcf724b8259f1e10
https://doi.org/10.1007/bf01480691
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3
Damming the Irtysh River at the site of the Shul'binsk hydroelectric station
Autor: V. G. Mikhalev
Publikováno v: Hydrotechnical Construction. 25:532-536
1. The final stage of damming the Irtysh River was carried out without complications owing to thorough preparation for this important stage of works on the part of the entire team of Irtyshgesstroi. 2. The cut made to the upper cofferdam and undercut
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5509b51046cc09b49873ba6dc2e14557
https://doi.org/10.1007/bf01836475
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6
A generalization of the Kac-Moody algebras with a parameter on an algebraic curve and perturbations of solitons
Autor: V. G. Mikhalev
Publikováno v: Comm. Math. Phys. 134, no. 3 (1990), 633-646
The Lie-algebraic approach for the dynamic systems associated with a generalization of the Kac-Moody algebras on Riemann surfaces is developed. A technique of solving the inverse scattering problem of operators with spectral parameters on Riemann sur
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c713b013c845a1cfeba7eb2a48aa9f08
http://projecteuclid.org/euclid.cmp/1104201825
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7
Complete integrability of the asymmetric chiral O(3)-field equation in a class of rapidly decreasing functions
Autor: V. G. Mikhalev
Publikováno v: Physica D: Nonlinear Phenomena. 40:421-432
The direct and inverse scattering problem for the asymmetric chiral O(3)-field equation is investigated by the Gel'fand-Levitan approach. The same results for the Landau-Lifshitz equation are presented. The canonical variables are derived and the Ham
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::198dbad7de188c702054ed17e0cc0ba1
https://doi.org/10.1016/0167-2789(89)90054-7
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8
Investigation of nonlinear one-dimensional systems by means of the Hamiltonian formalism
Autor: V. G. Mikhalev
Publikováno v: Theoretical and Mathematical Physics. 76:804-809
A method is proposed for investigating the solutions of the weakly perturbed sine-Gordon equation by means of action-angle variables. The Green's function of radiation on the background of many-soliton solutions is calculated in the first approximati
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b8eaad22d801e7537c36d6c277cdd86b
https://doi.org/10.1007/bf01028579
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