Abstract
In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to Dynamical system in a new Double-Chain Model of DNA and a diffusive predator-prey system which play an important role in biology.
Highlights
The nonlinear partial differential equations of mathematical physics are major subjects in physical science [1].Exact solutions for these equations play an important role in many phenomena in physics such as fluid mechanics, hydrodynamics, Optics, Plasma physics and so on
The objective of this article is to apply the extended Jacobian elliptic function expansion method for finding the exact traveling wave solution of Dynamical system in a new Double-Chain Model of deoxyribonucleic acid (DNA) and a diffusive predator-prey system which play an important role in biology and mathematical physics
The dynamics of DNA molecules is one of the most fascinating problems of modern biophysics because it is at the basis of life
Summary
The nonlinear partial differential equations of mathematical physics are major subjects in physical science [1]. Exact solutions for these equations play an important role in many phenomena in physics such as fluid mechanics, hydrodynamics, Optics, Plasma physics and so on. Many new approaches for finding these solutions have been proposed, for example, tanh-sech method [2]-[4], extended tanh-method [5]-[7], exp (−φ (ξ )) [8]-. -expansion method [19]-[22], Jacobi elliptic function method [23]-[26] and so on. How to cite this paper: Zahran, E.H.M. and Khater, M.M.A. (2015) Extended Jacobian Elliptic Function Expansion Method and Its Applications in Biology.
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