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pro vyhledávání: '"Nutku, Y"'
We discover multi-Hamiltonian structure of complex Monge-Ampere equation (CMA) set in a real first-order two-component form. Therefore, by Magri's theorem this is a completely integrable system in four real dimensions. We start with Lagrangian and Ha
Externí odkaz:
http://arxiv.org/abs/0802.2203
Autor:
Nutku, Y., Sheftel, M. B.
We discover Hamiltonian structure of the complex Monge-Amp`ere equation when written in a first order two-component form. We present Lagrangian and Hamiltonian functions, a symplectic form and the Hamiltonian operator that determines the Poisson brac
Externí odkaz:
http://arxiv.org/abs/0801.2663
We demonstrate that partner symmetries provide a lift of noninvariant solutions of three-dimensional Boyer-Finley equation to noninvariant solutions of four-dimensional hyperbolic complex Monge-Ampere equation. The lift is applied to noninvariant sol
Externí odkaz:
http://arxiv.org/abs/0704.3335
Autor:
Nutku, Y.
I point out that according to the Copernican principle our universe is not unique. The way to make sense out of this statement is for us to construct a gravitational instanton that will tunnel out of our vacuum into another, to form a universe other
Externí odkaz:
http://arxiv.org/abs/gr-qc/0505066
Publikováno v:
J.Phys. A38 (2005) 8473
We show that Plebanski's second heavenly equation, when written as a first-order nonlinear evolutionary system, admits multi-Hamiltonian structure. Therefore by Magri's theorem it is a completely integrable system. Thus it is an example of a complete
Externí odkaz:
http://arxiv.org/abs/nlin/0505030
Autor:
Nutku, Y.
Publikováno v:
Class.Quant.Grav. 22 (2005) L43-L46
New exact solutions of the Einstein-Maxwell field equations that describe $pp$-waves are presented.
Externí odkaz:
http://arxiv.org/abs/gr-qc/0502049
Publikováno v:
J.Phys. A37 (2004) 7527-7546
We extend our method of partner symmetries to the hyperbolic complex Monge-Amp\`ere equation and the second heavenly equation of Pleba\~nski. We show the existence of partner symmetries and derive the relations between them for both equations. For ce
Externí odkaz:
http://arxiv.org/abs/math-ph/0403020
Autor:
Nutku, Y.
Publikováno v:
J.Phys.A36:7559-7568,2003
Nambu's construction of multi-linear brackets for super-integrable systems can be thought of as degenerate Poisson brackets with a maximal set of Casimirs in their kernel. By introducing privileged coordinates in phase space these degenerate Poisson
Externí odkaz:
http://arxiv.org/abs/quant-ph/0306059
Publikováno v:
J.Phys.A36:10023-10038,2003
We extend the Mason-Newman Lax pair for the elliptic complex Monge-Amp\`ere equation so that this equation itself emerges as an algebraic consequence. We regard the function in the extended Lax equations as a complex potential. We identify the real a
Externí odkaz:
http://arxiv.org/abs/math-ph/0305037
Explicit Riemannian metrics with Euclidean signature and anti-self dual curvature that do not admit any Killing vectors are presented. The metric and the Riemann curvature scalars are homogenous functions of degree zero in a single real potential and
Externí odkaz:
http://arxiv.org/abs/gr-qc/0304066