Results 11 to 20 of about 228 (62)
Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows [PDF]
, 2007 We use a connection between relativistic hydrodynamics and scalar field theory to generate exact analytic solutions describing non-stationary inhomogeneous flows of the perfect fluid with one-parametric equation of state (EOS) $p = p(\epsilon)$.
Borshch, Maxim S., Zhdanov, Valery I.
core +3 more sources
Nonlinear Engineering, 2018 In this paper, the fractional derivatives in the sense of modified Riemann–Liouville and the Riccati-Bernoulli Sub-ODE method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional ...
Abdelrahman Mahmoud A.E.
doaj +1 more source
Advances in Nonlinear Analysis, 2015 In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
doaj +1 more source
Twisting type N vacuums with cosmological constant [PDF]
, 2007 We provide the first examples of vacuum metrics with cosmological constant which have a twisting quadruple principal null ...
Nurowski, Pawel
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Gravitational field of Schwarzschild soliton
Arab Journal of Mathematical Sciences, 2015 The aim of this paper is to study the gravitational field of Schwarzschild soliton. Use of characteristic of λ-tensor is given to determine the kinds of gravitational fields.
Musavvir Ali, Zafar Ahsan
doaj +1 more source
Recursions of Symmetry Orbits and Reduction without Reduction [PDF]
, 2011 We consider a four-dimensional PDE possessing partner symmetries mainly on the example of complex Monge-Amp\`ere equation (CMA). We use simultaneously two pairs of symmetries related by a recursion relation, which are mutually complex conjugate for CMA ...
Malykh, Andrei A., Sheftel, Mikhail B.
core +6 more sources
Perturbations and Stability of Black Ellipsoids [PDF]
, 2002 We study the perturbations of two classes of static black ellipsoid solutions of four dimensional vacuum Einstein equations. Such solutions are described by generic off--diagonal metrics which are generated by anholonomic transforms of diagonal metrics ...
Chandrasekhar S. +2 more
core +1 more source
Partner symmetries and non-invariant solutions of four-dimensional heavenly equations [PDF]
, 2004 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.
A A Malykh +15 more
core +1 more source
Geodesic completeness of generalized space-times
, 2015 We define the notion of geodesic completeness for semi-Riemannian metrics of low regularity in the framework of the geometric theory of generalized functions.
Steinbauer, Roland, Sämann, Clemens
core +1 more source
New anisotropic models from isotropic solutions
, 2005 We establish an algorithm that produces a new solution to the Einstein field equations, with an anisotropic matter distribution, from a given seed isotropic solution.
Bowers +18 more
core +2 more sources