The modified simple equation method for solving nonlinear diffusive predator-prey system and Bogoyavlenskii equations | Zendy

M E Zayed Elsayed | Zendy; A Amer Yasser | Zendy

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The modified simple equation method for solving nonlinear diffusive predator-prey system and Bogoyavlenskii equations

Author(s) -

M E Zayed Elsayed,

A Amer Yasser

Publication year - 2015

Publication title -

international journal of the physical sciences

Language(s) - English

Resource type - Journals

ISSN - 1992-1950

DOI - 10.5897/ijps2014.4244

Subject(s) - nonlinear system , traveling wave , mathematics , partial differential equation , simple (philosophy) , mathematical analysis , wave equation , differential equation , physics , philosophy , epistemology , quantum mechanics

The modified simple equation method (The modified SEM) is employed to find the exact traveling wave solutions involving parameters for two nonlinear evolution equations, namely, the diffusive predator-prey system and the Bogoyavlenskii equations. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. It is shown that the modified SEM provides an effective and a more powerful mathematical tool for solving nonlinear partial differential equations in mathematical physics. Our results in this paper are new and different from those obtained in the literature. Key words: A diffusive predator-prey system, the Bogoyavlenskii equation, the modified SEM, traveling wave solutions, solitary wave solutions.

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