Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Brunelli J"'
Autor:
Brunelli, J. C.
From a super extension of the Wadati, Konno and Ichikawa scheme for integrable systems and using a $\mathrm{osp(1,2)}$ valued connection 1-form we obtain super generalizations for the Short Pulse equation as well for the Elastic Beam equation.
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Externí odkaz:
http://arxiv.org/abs/1709.01369
Autor:
Brunelli, J. C., Sakovich, S.
Publikováno v:
J. Math. Phys. 54 (2013) 012701 (12 pages)
We obtain the bi-Hamiltonian structure for some of the two-component short pulse equations proposed in the literature to generalize the original short pulse equation when polarized pulses propagate in anisotropic media.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/1210.5265
Autor:
Brunelli, J. C., Das, Ashok
We study a new non-local hierarchy of equations of the isentropic gas dynamics type where the pressure is a non-local function of the density. We show that the hierarchy of equations is integrable. We construct the two compatible Hamiltonian structur
Externí odkaz:
http://arxiv.org/abs/nlin/0401009
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
Publikováno v:
J.Math.Phys.45:2646-2655,2004
We study the deformed Harry Dym and Hunter-Zheng equations with two arbitrary deformation parameters. These reduce to various other known models in appropriate limits. We show that both these systems are bi-Hamiltonian with the same Hamiltonian struc
Externí odkaz:
http://arxiv.org/abs/nlin/0307043
Publikováno v:
J.Math.Phys. 44 (2003) 4756-4767
We study the supersymmetric extensions of the Harry Dym hierarchy of equations. We obtain the susy-B extension, the doubly susy-B extension as well as the N=1 and the N=2 supersymmetric extensions for this system. The N=2 supersymmetric extension is
Externí odkaz:
http://arxiv.org/abs/nlin/0304047
Publikováno v:
Phys.Lett.B546:167-176,2002
We propose a Lax equation for the non-linear sigma model which leads directly to the conserved local charges of the system. We show that the system has two infinite sets of such conserved charges following from the Lax equation, much like dispersionl
Externí odkaz:
http://arxiv.org/abs/hep-th/0208172
Autor:
Brunelli, J. C., da Costa, G. A. T. F.
Publikováno v:
J.Math.Phys. 43 (2002) 6116-6128
A large class of nonlocal equations and nonlocal charges for the Harry Dym hierarchy is exhibited. They are obtained from nonlocal Casimirs associated with its bi-Hamiltonian structure. The Lax representation for some of these equations is also given
Externí odkaz:
http://arxiv.org/abs/nlin/0207041
Autor:
Brunelli, J. C.
Publikováno v:
Braz.J.Phys. 30 (2000) 455-468
Nonlinear dispersionless equations arise as the dispersionless limit of well know integrable hierarchies of equations or by construction, such as the system of hydrodynamic type. Some of these equations are integrable in the Hamiltonian sense and app
Externí odkaz:
http://arxiv.org/abs/nlin/0207042
Publikováno v:
Rev.Math.Phys. 13 (2001) 529
We give the Lax representations for for the elliptic, hyperbolic and homogeneous second order Monge-Ampere equations. The connection between these equations and the equations of hydrodynamical type give us a scalar dispersionless Lax representation.
Externí odkaz:
http://arxiv.org/abs/hep-th/9906233