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Application of Sumudu transform in reaction-diffusion systems and nonlinear waves
Fractional diffusion equation Generalized Mittag-Liffler Function
2010/9/20
In this paper we investigate the solution of a nonlinear reactiondiffusion equation connected with nonlinear waves by the application of Sumudu transform. The results presented here are in compact and...
Exact solutions for some reaction diffusion systems with nonlinear reaction polynomial terms
Factorization method nonlinear polynomial exact solutions
2010/9/10
We introduce a method to find exact traveling wave solutions for reaction diffusion systems of equations with nonlinear reaction polynomial terms. We will apply the method on an important kinds of rea...
Analysis of instabilities and pattern formation in time fractional reaction-diffusion systems
instabilities pattern formation time fractional reaction-diffusion systems
2010/4/6
We analyzed conditions for Hopf and Turing instabilities to occur in two-component fractional reaction-diffusion systems. We showed that the eigenvalue spectrum and fractional derivative order mainly ...
Some Notes on Reaction Diffusion Systems with Nonlinear Boundary Conditions
reaction-diffusion fast diffusion global existence blow-up
2007/12/10
This paper deals with the existence and nonexistence of global positive solution to a semilinear reaction-diffusion system with nonlinear boundary conditions. For the heat diffusion case, the necessar...
Spiral and Antispiral Waves in Reaction-Diffusion Systems
spiral waves antispiral waves extended Brusselator model
extended Oregonator model
2007/8/15
2004Vol.42No.4pp.637-640DOI:
Spiral and Antispiral Waves in Reaction-Diffusion Systems
LIU Yu-Fang,1,2 WU Yan-Ning,1 XU Hou-Ju,1 and SUN Jin-Feng1
1 College of Physics a...
Critical Behavior in Reaction-Diffusion Systems Exhibiting Absorbing Phase Transitions
Critical Behavior Reaction-Diffusion Systems Phase Transitions
2010/10/28
Phase transitions of reaction-diffusion systems with a site occupation restriction, particle creation requiring n > 2 parents, and in which explicit diffusion of single particles (A) is possible, are ...
Static- and Dynamical-Phase Transition in One-Dimensional Reaction-Diffusion Systems with Boundaries
Static- and Dynamical-Phase Transition One-Dimensional Reaction-Diffusion Systems Boundaries
2010/10/28
A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of...