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Symmetry analysis of an integrable reaction-diffusion equation
(Elsevier B.V., 2001-03-01)
In this paper, we investigate the invariance and integrability properties of an integrable two-component reaction-diffusion equation. We perform Painleve analysis for both the reaction-diffusion equation modelled by a ...
Spatial dynamics of a population with stage-dependent diffusion
(Elsevier B.V., 2015)
Spatial dynamics of a population with stage-dependent diffusion
(Elsevier B.V., 2015)
VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS
(ELSEVIER, 2005)
The 1D nonlinear diffusion equation has been used to model a variety of phenomena in different fields, e.g. population dynamics, flame propagation, combustion theory, chemical kinetics and many others. After the work of ...
VARIATIONAL PRINCIPLES FOR THE SPEED OF TRAVELING FRONTS OF REACTION-DIFFUSION EQUATIONS
(ELSEVIER, 2005)
The 1D nonlinear diffusion equation has been used to model a variety of phenomena in different fields, e.g. population dynamics, flame propagation, combustion theory, chemical kinetics and many others. After the work of ...
Critical patch-size for two-sex populations
(2018-06-01)
As environments become increasingly degraded, mainly due to human activities, species are often subject to isolated habitats surrounded by unfavorable regions. Since the pioneering work by Skellam [25] mathematical models ...
Reaction diffusion dynamics and the schryer-walker solution for domain walls of the landau-lifshitz-gilbert equation
(2016)
We study the dynamics of the equation obtained by Schryer and Walker for the motion of domain walls. The reduced equation is a reaction diffusion equation for the angle between the applied field and the magnetization vector. ...
SELF-SIMILARITY AND UNIQUENESS OF SOLUTIONS FOR SEMILINEAR REACTION-DIFFUSION SYSTEMS
(Khayyam Publ Co IncAthensEUA, 2010)
FAST PROPAGATION FOR FRACTIONAL KPP EQUATIONS WITH SLOWLY DECAYING INITIAL CONDITIONS
(Society for Industrial and Applied Mathematics, 2013)
In this paper we study the large-time behavior of solutions of one-dimensional
fractional Fisher-KPP reaction-diffusion equations, when the initial condition is asymptotically frontlike
and it decays at infinity more ...