Exact Solutions of Rosenzweig-Macarthur (RM) Model Equations by Using Exp Function Method

Year 2019, Issue: 16, 427 - 433, 31.08.2019

Zafer Öztürk Halis Bilgil

https://doi.org/10.31590/ejosat.541346

Cited By: 1

Abstract

He’s exp function method promising for finding exact solutions
of nonlinear evolution equations in mathematical physics. The exact solutions
of the Rosenzweig-MacArthur (RM) model equations is obtain by using the exp-function
method. The  method is by transformation used to construct
solitary and soliton solutions of nonlinear evolution equations. Thefree parameters in the obtained
generalized solutions might imply some meaningful results in physical process.

Keywords

Rosenzweig-MacArthur (RM) model, Exact solution, Exp-Function Method, Populations

Exact Solutions of Rosenzweig-Macarthur (RM) Model Equations by Using Exp Function Method

Abstract

He’s exp function method aims to finding exact solutions of nonlinear evolution equations in mathematical physics. The exact
solutions of the Rosenzweig-MacArthur (RM) model equations is obtain by using the exp-function method. The method is by
transformation used to construct solitary and soliton solutions of nonlinear evolution equations. The free parameters in the obtained
generalized solutions might imply some meaningful results in physical process. 

Keywords

Rosenzweig-MacArthur (RM) Model, Exact solution, Exp-Function Method, Populations

References

• He, JH., and Wu, XH., 2006. Exp-Function Method for Nonlinear Wave Equations, Chaos, Soliton and Fractals, 30, 3, 700-708.
• Zayed, E. M. E. & Abdelaziz, M. A. M., 2010. The tanh- function method using a generalized wave transformation for nonlinear equations. Int. J.Nonlinear Sci. Numer. Simula., 11, 595-601.
• El-Wakil SA, Abdou MA.,Mar 2007. Modified extended tanh-function method for solving nonlinear partial differential equations, Chaos Solitons and Fractals 31 (5), 1256-1264
• Wazwaz, A. M., 2004. A sine-cosine method forhandling nonlinear wave equations.Math. Comput.Model., 40, 499-508.
• Fan, E. & Zhang, H., 1998. A note on the homogeneous balance method. Phys. Lett., A 246, 403-406.
• Zhang, J. L., Wang, M. L., Wang, Y. M. & Fang, Z. D. 2006. The improved F expansion method and its applications. Phys, Lett., A 350, 103-109.
• He, J. H. 2006. New interpretation of homotopy perturbation method. Int. J. Mod. Phys., B20, 2561-2568.
• X.H. (Benn) Wu, J.H. He, 2008. Exp-function method and its application to nonlinear equations, Chaos Solitons Fractals 38 903–910.