Zobrazeno 1 - 10
of 204
pro vyhledávání: '"Marvan, M."'
Autor:
Ferraioli, D. Catalano, Marvan, M.
Publikováno v:
Ann. Mat. Pura Appl. 199 (2020) 1343-1380
We consider the equivalence problem of four-dimensional semi-Riemannian metrics with the $2$-dimensional Abelian Killing algebra. In the generic case we determine a semi-invariant frame and a fundamental set of first-order scalar differential invaria
Externí odkaz:
http://arxiv.org/abs/1901.01689
Publikováno v:
J. Geom. Phys. 144 (2019) 54-80
We study the Gibbons-Tsarev equation $z_{yy} + z_x z_{xy} - z_y z_{xx} + 1 = 0$ and, using the known Lax pair, we construct infinite series of conservation laws and the algebra of nonlocal symmetries in the covering associated with these conservation
Externí odkaz:
http://arxiv.org/abs/1811.08199
Publikováno v:
In Journal of Geometry and Physics October 2019 144:54-80
Autor:
Marvan, M., Sergyeyev, A.
We present a new approach to construction of recursion operators for multidimensional integrable systems which have a Lax-type representation in terms of a pair of commuting vector fields. It is illustrated by the examples of the Manakov--Santini sys
Externí odkaz:
http://arxiv.org/abs/1107.0784
Autor:
Marvan, M.
Publikováno v:
Acta Appl. Math. 109 (2010) 239-255
We consider the problem whether a nonparametric zero-curvature representation can be embedded into a one-parameter family within the same Lie algebra. After introducing a computable cohomological obstruction, a method using the recursion operator to
Externí odkaz:
http://arxiv.org/abs/0804.2031
On local equivalence problem of spacetimes with two orthogonally transitive commuting Killing fields
Autor:
Marvan, M., Stolin, O.
Publikováno v:
J. Math. Phys. 49 (2008), no. 2, 022503
Considered is the problem of local equivalence of generic four-dimensional metrics possessing two commuting and orthogonally transitive Killing vector fields. A sufficient set of eight differential invariants is explicitly constructed, among them fou
Externí odkaz:
http://arxiv.org/abs/0709.4185
Autor:
Marvan, M., Pobořil, M.
Publikováno v:
J. Math. Sci. (N. Y.) 151 (2008) 3151-3158
In this paper we find the inverse and direct recursion operator for the intrinsic generalized sine-Gordon equation in any number $n > 2$ of independent variables. Among the flows generated by the direct operator we identify a higher-dimensional analo
Externí odkaz:
http://arxiv.org/abs/nlin/0605015
Autor:
Marvan, M.
Publikováno v:
Found. Comput. Math. 9 (2009) 651-674
Every orthonomic system of partial differential equations is known to possess a finite number of integrability conditions sufficient to ensure the validity of all. Herewith we offer an efficient algorithm to construct a sufficient set of integrabilit
Externí odkaz:
http://arxiv.org/abs/nlin/0605009
Autor:
Marvan, M.
Publikováno v:
Proc. Conf. Symmetry in Nonlinear Mathematical Physics, Kyiv, Ukraine, June 23-28, 2003. Proc. Inst. Math. NAS Ukraine 50 (2004), Part I, 179-183
Direct and inverse recursion operator is derived for the vacuum Einstein equations for metrics with two commuting Killing vectors that are orthogonal to a foliation by 2-dimensional leaves.
Comment: 7 pages, uses nath.sty
Comment: 7 pages, uses nath.sty
Externí odkaz:
http://arxiv.org/abs/nlin/0401014
Autor:
Marvan, M., Sergyeyev, A.
Publikováno v:
J. Phys. A: Math. Gen. 36 (2003) L87-L92
We present a new general construction of recursion operator from zero curvature representation. Using it, we find a recursion operator for the stationary Nizhnik--Veselov--Novikov equation and present a few low order symmetries generated with the hel
Externí odkaz:
http://arxiv.org/abs/nlin/0210028