Zobrazeno 1 - 10
of 179
pro vyhledávání: '"Popowicz Z."'
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 2, Iss 1, Pp 96-108 (2010)
The differential-algebraic approach to studying the Lax type integrability of generalized Riemann type equations is devised. The differentiations and the associated invariant differential ideals are analyzed in detail. The approach is also applied to
Externí odkaz:
https://doaj.org/article/09493bf928bf47fe8c76fce4d1e9bd80
Publikováno v:
Journal of Geometry and Physics 85 (2014) 29-39
We consider a 3$\times$3 spectral problem which generates four-component CH type systems. The bi-Hamiltonian structure and infinitely many conserved quantities are constructed for the associated hierarchy. Some possible reductions are also studied.
Externí odkaz:
http://arxiv.org/abs/1310.1781
Autor:
Popowicz, Z.
Publikováno v:
J. Phys. A.: Math. Gen 39, 13717-13726 (2006)
We present two different hamiltonian extensions of the Degasperis - Procesi equation to the two component equations. The construction based on the observation that the second Hamiltonian operator of the Degasperis - Procesi equation could be consider
Externí odkaz:
http://arxiv.org/abs/nlin/0604067
Publikováno v:
J.Phys. A38 (2005) 7773-7784
The $n\to\infty$ continuum limit of super-Toda models associated with the affine $sl(2n|2n)^{(1)}$ (super)algebra series produces $(2+1)$-dimensional integrable equations in the ${\bf S}^{1}\times {\bf R}^2$ spacetimes. The equations of motion of the
Externí odkaz:
http://arxiv.org/abs/hep-th/0504214
Autor:
Das, Ashok, Popowicz, Z.
Publikováno v:
J.Math.Phys.46:082702,2005
In this paper we study systematically the question of supersymmetrization of the non-local gas equation. We obtain both the N=1 and the N=2 supersymmetric generalizations of the system which are integrable. We show that both the systems are bi-Hamilt
Externí odkaz:
http://arxiv.org/abs/nlin/0504043
In this talk, we describe our recent results on the supersymmetrization of the Harry Dym hierarchy as well as a newly constructed deformed Harry Dym hierarchy which is integrable with two arbitrary parameters. In various limits of these parameters, t
Externí odkaz:
http://arxiv.org/abs/hep-th/0311228
Autor:
Popowicz, Z., Toppan, F.
Publikováno v:
J.Phys. A36 (2003) 9701-9710
Manifest N=2 supersymmetric Toda systems are constructed from the $sl(n,n+1)$ superalgebras by taking into account their complex structure. In the $n\to \infty$ continuum limit an N=2 extension of the $(2+1)$-dimensional heavenly equation is obtained
Externí odkaz:
http://arxiv.org/abs/nlin/0302061
It is shown that the fermionic Heisenberg-Weyl algebra with 2N=D fermionic generators is equivalent to the generalized Grassmann algebra with two fractional generators. The 2,3 and 4 dimensional Heisenberg - Weyl algebra is explicitly given in terms
Externí odkaz:
http://arxiv.org/abs/hep-th/0110246
Autor:
Das, A, Popowicz, Z.
We analyze the dispersionless limits of the SUSY TB-B (sTB-B) and the SUSY TB (sTB) hierarchies. We present the Lax description for each of these models, as well as the N=2 sTB hierarchy and bring out various properties associated with them. We also
Externí odkaz:
http://arxiv.org/abs/nlin/0002037
Autor:
Popowicz, Z.
We preesent a new supersymmetric integrable extensions of the a=4,N=2 KdV hierarchy. The root of the supersymmetric Lax operator of the KdV equation is generalized, by including additional fields. This generalized root generate new hierarchy of integ
Externí odkaz:
http://arxiv.org/abs/solv-int/9805007