Painlevé analysis and exact solutions of a predator-prey system with diffusion

2014 ◽  
Vol 38 (7) ◽  
pp. 1418-1427 ◽  
Author(s):  
N.A. Kudryashov ◽  
A.S. Zakharchenko
Keyword(s):  
Exact Solutions ◽  
Painlevé Analysis ◽  
Predator Prey ◽  
Prey System ◽  
Painleve Analysis

scholarly journals Bäcklund Transformation and New Exact Solutions of the Sharma-Tasso-Olver Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Lin Jianming ◽  
Ding Jie ◽  
Yuan Wenjun
Keyword(s):  
Exact Solutions ◽  
Bäcklund Transformation ◽  
Analytic Study ◽  
Bäcklund Transformations ◽  
Painlevé Analysis ◽  
Backlund Transformation ◽  
New Exact Solutions ◽  
Backlund Transformations ◽  
Painleve Analysis

The Sharma-Tasso-Olver (STO) equation is investigated. The Painlevé analysis is efficiently used for analytic study of this equation. The Bäcklund transformations and some new exact solutions are formally derived.

Exact Solutions of Nonlinear Diffusive Predator-Prey System by New Extension of Tanh Method

2018 ◽  
Vol 15 (11) ◽  
pp. 3195-3200
Author(s):  
Hadi Rezazadeh ◽  
Ahmad Neirameh ◽  
Nauman Raza ◽  
Mostafa Eslami
Keyword(s):  
Exact Solutions ◽  
Predator Prey ◽  
Prey System ◽  
Tanh Method
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