Key Laboratory of Numerical Simulation of Sichuan Province

Neijiang, China

Key Laboratory of Numerical Simulation of Sichuan Province

Neijiang, China
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Wu G.-C.,Key Laboratory of Numerical Simulation of Sichuan Province | Wu G.-C.,Neijiang Normal University | Zhang S.,Dalian University of Technology
Physics Letters, Section A: General, Atomic and Solid State Physics | Year: 2011

In this Letter, a generalized Tu formula is firstly presented to construct Hamiltonian structures of fractional soliton equations. The obtained results can be reduced to the classical Hamiltonian hierarchy of AKNS in ordinary calculus. © 2011 Elsevier B.V.


El-Nabulsi A.R.,Key Laboratory of Numerical Simulation of Sichuan Province
Indian Journal of Physics | Year: 2012

The aim of this paper is to generalize in D = d + 1 the Newtonian gravity by adding to the gravitational potential for fractal distribution of particles within the linearized theory, a propagating fractional correctional mode which have the form of Yukawa (exponential) fractional potential. Exact solutions of Einstein field equations are presented where many interested features are derived and discussed in some details. © 2012 IACS.


Wu G.-C.,Key Laboratory of Numerical Simulation of Sichuan Province | Wu G.-C.,Neijiang Normal University
Mathematical and Computer Modelling | Year: 2011

Adomian decomposition method is extended to the calculations of the non-differentiable functions. The iteration procedure is based on Jumarie's Taylor series. A specific fractional differential equation is used to elucidate the solution procedure and the results are compared with the exact solution of the corresponding ordinary differential equations, revealing high accuracy and efficiency. © 2011 Elsevier Ltd.


El-nabulsi R.A.,Key Laboratory of Numerical Simulation of Sichuan Province | El-nabulsi R.A.,Neijiang Normal University
European Physical Journal Plus | Year: 2012

We discuss the late-time dynamics of a chameleonic generalized Brans-Dicke cosmology with the power law chameleonic function f(φ) ∝ φn, where n is a real parameter motivated from string theories by conjecturing that the four-dimensional Hubble parameter varies with a scale factor like φ = ξam, where (ξ,m) are real parameters. For some critical values of m, n and the Brans-Dicke parameter, it was observed that the universe is free from the initial singularity. Both singularity-free and singular cosmological scenarios are discussed. Several cosmological tests like the physical cosmological distances and the statefinder parameters are discussed. © 2012 Società Italiana di Fisica / Springer-Verlag.


Wu G.-C.,Key Laboratory of Numerical Simulation of Sichuan Province | Wu G.-C.,Neijiang Normal University
Communications in Theoretical Physics | Year: 2011

Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests Lie group method for fractional partial differential equations. A time-fractional Burgers equation is used as an example to illustrate the effectiveness of the Lie group method and some classes of exact solutions are obtained. © 2011 Chinese Physical Society and IOP Publishing Ltd.


El-Nabulsi A.R.,Jeju National University | El-Nabulsi A.R.,Key Laboratory of Numerical Simulation of Sichuan Province | El-Nabulsi A.R.,Neijiang Normal University
Research in Astronomy and Astrophysics | Year: 2011

We discuss the late-time dynamics of a particular four-dimensional Brans-Dicke cosmology with a dilaton field motivated by string theories (solitonic p-branes or D-branes) in which the dilaton field and the scale factor of the flat, homogeneous spacetime are correlated. We examine the late-time-evolution of the equations of motion where various attractive consequences are revealed and discussed in some detail. © 2011 National Astronomical Observatories of Chinese Academy of Sciences and IOP Publishing Ltd.


El-Nabulsi R.A.,Key Laboratory of Numerical Simulation of Sichuan Province | El-Nabulsi R.A.,Neijiang Normal University
Journal of Applied Analysis | Year: 2012

Certain aspects of Lagrangian and Hamiltonian dynamics are investigated within the framework of an extended complex phase space approach, characterized by the transformation q = q1+iq2, p = p 1+ip2 and by the presence of the imaginary time variable τ in the complex variable z = t + iτ in a local chart. It is an application of imaginary time which is essential in connecting quantum mechanics with statistical physics. We argue that the novel complexified approach enhances the system of dynamical equations obtained in the sense that the new derived equations appear as certain combinations of former equations. Furthermore, it was shown that the physics we experience in the real time is somewhat different from what is experienced in imaginary region. Further consequences are discussed in some details. © de Gruyter 2012.


Deng Z.-G.,Guangxi University | Wu G.-C.,Key Laboratory of Numerical Simulation of Sichuan Province | Wu G.-C.,Neijiang Normal University
Romanian Reports of Physics | Year: 2011

Fractional differential equations have been caught much attention during the past decades. In this study, iteration formulae of a fractional differential equation with uncertainty are proposed and the approximate solutions for a simple case are derived via a fractional variational iteration method.


El-Nabulsi R.A.,Key Laboratory of Numerical Simulation of Sichuan Province | El-Nabulsi R.A.,Neijiang Normal University
European Physical Journal Plus | Year: 2011

In this work, we discussed the cosmological consequences of a modified gravity theory characterized by f(R) = Rn(t) where n(t) = 1+B(t - t0)ε, B and ε are free parameters in the theory and a Hubble parameter which varies as H(t) = A√R where A is a real positive parameter. For some explicit and reasonable values of the free parameters of the theory, our proposal contains several novel features which were discussed in some details. © Società Italiana di Fisica / Springer-Verlag 2011.


El-Nabulsi R.A.,Key Laboratory of Numerical Simulation of Sichuan Province | El-Nabulsi R.A.,Neijiang Normal University
International Journal of Theoretical Physics | Year: 2012

Massive gravity based on the fractional action cosmology is discussed. In this new picture, the new theory requires the introduction, in addition to the ordinary graviton mass, fractional graviton masses which for a very low cosmic fluid density are different of zero. Their masses could be under certain restriction on the range of the parameters of the theory larger than 10 -4 eV even at large distances. © 2012 Springer Science+Business Media, LLC.

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