Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics-Reference-Cited by-同舟云学术

Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics

Published:2010-10 Issue:10 Volume:15 Page:2836-2845
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Vitanov Nikolay K.,Dimitrova Zlatinka I.

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis

Reference61 articles.

1. Impulses and physiological states in theoretical models of nerve membrane;FitzHugh;Biophys J,1961

2. Solitons, nonlinear evolution equations and inverse scattering;Ablowitz,1991

3. Lectures on nonlinear differential equation models in biology;Murray,1977

4. Nonlinear differential equations and dynamical systems;Verhulst,1996

5. Stability and complexity in model ecosystems;May,2001

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