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Zheng B.,Shandong University of Technology
Communications in Theoretical Physics | Year: 2012

In this paper, the (G′/G)-expansion method is extended to solve fractional partial differential equations in the sense of modified Riemann - Liouville derivative. Based on a nonlinear fractional complex transformation, a certain fractional partial differential equation can be turned into another ordinary differential equation of integer order. For illustrating the validity of this method, we apply it to the space-time fractional generalized Hirota - Satsuma coupled KdV equations and the time-fractional fifth-order Sawada - Kotera equation. As a result, some new exact solutions for them are successfully established. © 2012 Chinese Physical Society and IOP Publishing Ltd.


Feng Q.-H.,Shandong University of Technology
Communications in Theoretical Physics | Year: 2013

In this paper, an extended Riccati sub-ODE method is proposed to establish new exact solutions for fractional differential-difference equations in the sense of modified Riemann - Liouville derivative. By a fractional complex transformation, a given fractional differential-difference equation can be turned into another differential-difference equation of integer order. The validity of the method is illustrated by applying it to solve the fractional Hybrid lattice equation and the fractional relativistic Toda lattice system. As a result, some new exact solutions including hyperbolic function solutions, trigonometric function solutions and rational solutions are established. © 2013 Chinese Physical Society and IOP Publishing Ltd.


Cao Y.,Shandong University of Technology
Finite Fields and their Applications | Year: 2013

Let R be an arbitrary commutative finite chain ring, γ a generator of the maximal ideal and R× the multiplicative group of units of R. For any wâ̂̂R×, the structural properties and dual codes of (1+wγ)-constacyclic codes of arbitrary length over R are given. As corollaries, self-dual constacyclic codes over the finite chain ring F2m+uF2m (u2=0) and the Galois ring GR(2s,m) are provided. © 2013 Elsevier Inc.


Zheng B.,Shandong University of Technology
The Scientific World Journal | Year: 2013

We extend the Exp-function method to fractional partial differential equations in the sense of modified Riemann-Liouville derivative based on nonlinear fractional complex transformation. For illustrating the validity of this method, we apply it to the space-time fractional Fokas equation and the nonlinear fractional Sharma-Tasso-Olver (STO) equation. As a result, some new exact solutions for them are successfully established. © 2013 Bin Zheng.


Su C.,Shandong University of Technology
Journal of Coatings Technology Research | Year: 2012

This paper reports the fabrication of a lotus-effect coating by grafting epoxy (EP) resin on the surface of microsilica and nanosilica, respectively, and subsequent spraying. The coating shows the same structure and capability as lotus leaves, and shows a static contact angle as large as 165° and a sliding angle as small as 2.5°. SEM analysis shows that the hydrophobic capability depends on the surface structure of the coatings. This method may be suited for processing large scale or irregular surfaces. © 2009 FSCT and OCCA.

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