Results 21 to 30 of about 3,443,922 (356)

The exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Results in Physics, 2021
In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3 + 1) dimension. By using the modified hyperbolic tangent function method, we obtain more new exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, which ...
Xiaofang Duan, Junliang Lu
doaj   +1 more source

Search for Tracker Potentials in Quintessence Theory [PDF]

, 2001
We report a significant finding in Quintessence theory that the the scalar fields with tracker potentials have a model-independent scaling behaviour in the expanding universe.
Johri V B, Johri V B, Johri V B, Johri V B, Johri V B, Johri V B, Johri V B, Perlmutter S, Prigogine I, Prigogine I, Ratra B, Vinod B Johri   +11 more
core   +3 more sources

A non-linear hyperbolic equation

International Journal of Mathematics and Mathematical Sciences, 1980
In this paper the following Cauchy problem, in a Hilbert space H, is considered: (I+λA)u″+A2u+[α+M(|A12u|2)]Au=fu(0)=u0u′(0 ...
Eliana Henriques de Brito
doaj   +1 more source

Towards the theory of integrable hyperbolic equations of third order

, 2012
The examples are considered of integrable hyperbolic equations of third order with two independent variables. In particular, an equation is found which admits as evolutionary symmetries the Krichever--Novikov equation and the modified Landau--Lifshitz ...
A B Shabat, Bobenko A I, Courant R, Degasperis A Procesi M Degasperis A Gaeta G, Hone A N W, Ivanov R I, Shabat A B, Svinolupov S I, V E Adler, Wolfram S, Zhiber A V, Zhiber A V, Zhiber A V, Zhiber A V, Zhiber A V   +14 more
core   +1 more source

A Framework for Modeling Subgrid Effects for Two-Phase Flows in Porous Media [PDF]

, 2006
In this paper, we study upscaling for two-phase flows in strongly heterogeneous porous media. Upscaling a hyperbolic convection equation is known to be very difficult due to the presence of nonlocal memory effects.
Hou, Thomas Y., Westhead, Andrew, Yang, Danping   +2 more
core   +2 more sources

Generalized Hyperbolic Function Solution to a Class of Nonlinear Schrödinger-Type Equations

Journal of Applied Mathematics, 2012
With the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way.
Zeid I. A. Al-Muhiameed, Emad A.-B. Abdel-Salam   +1 more
doaj   +1 more source

Considerations on the hyperbolic complex Klein-Gordon equation

, 2010
The article summarizes and consolidates investigations on hyperbolic complex numbers with respect to the Klein-Gordon equation for fermions and bosons. The hyperbolic complex numbers are applied in the sense that complex extensions of groups and algebras
Ulrych, S.
core   +1 more source

Reducing Residual Moveout for Long Offset Data in VTI Media Using Padé Approximation [PDF]

E3S Web of Conferences, 2019
Modification of the hyperbolic travel time equation into non-hyperbolic travel time equation is important to increase the reduction residual moveout for long offset data.
Pratiwi Indah Nur, Rosid Mohammad Syamsu, Purba Humbang   +2 more
doaj   +1 more source

New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method

Applied Mathematics and Nonlinear Sciences, 2019
In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new hyperbolic function solutions to one of the popular nonlinear evolution equations that arises in the field of mathematical ...
H. Baskonus, H. Bulut, T. Sulaiman
semanticscholar   +1 more source

Constraints as evolutionary systems [PDF]

, 2015
The constraint equations for smooth $[n+1]$-dimensional (with $n\geq 3$) Riemannian or Lorentzian spaces satisfying the Einstein field equations are considered.
Rácz, István
core   +2 more sources