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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. Source


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. Source


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. Source


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. Source


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. Source

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