Results 11 to 20 of about 188 (37)
New conservation laws and exact solutions of the special case of the fifth-order KdV equation
The current study deals with the Kaup-Kupershmidt (KK) equation to construct formal Lagrangian, conservation laws, and exact solutions. KK is basically a special case of the 5th-order KdV equation. The conservation laws obtained by using the conservation
Arzu Akbulut+2 more
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Rich analytical solutions of a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation
In this paper, a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation is studied. The interaction solutions of lump and N-soliton (N=2,3,4) are investigated.
Na Yuan
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Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows [PDF]
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.
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In this paper, the sub-equation method is used to obtain new types of complex traveling wave solutions of the time-fractional Burgers-Fisher equation. In this work is to compare the exact complex traveling wave solutions of new types and the numerical ...
Asıf Yokus+4 more
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Anti-self-dual Riemannian metrics without Killing vectors, can they be realized on K3?
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 its
A A Malykh+20 more
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The exact solutions of the stochastic Ginzburg–Landau equation
The main goal of this paper is to obtain the exact solutions of the stochastic real-valued Ginzburg–Landau equation, which is forced by multiplicative noise in the Itô sense.
Wael W. Mohammed+5 more
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Recursions of Symmetry Orbits and Reduction without Reduction [PDF]
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.
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Intrinsic Spectral Geometry of the Kerr-Newman Event Horizon
We uniquely and explicitly reconstruct the instantaneous intrinsic metric of the Kerr-Newman Event Horizon from the spectrum of its Laplacian. In the process we find that the angular momentum parameter, radius, area; and in the uncharged case, mass, can ...
Martin Engman+4 more
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Perturbations and Stability of Black Ellipsoids [PDF]
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
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A Special Universe and its Massless Scalar Field Mathematical Structure
The present paper highlights an exotic universe having a metric which is partially suggested by the metric of an universe without time seen in [2]. The new metric is globally defined and depends on an exotic matter created by some classical waves.
Boskoff Wladimir-Georges+1 more
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