Abstract
The exp(-φ(ξ))-expansion method is used as the first time to investigate the wave solution of a nonlinear dynamical system in a new double-Chain model of DNA and a diffusive predator-prey system. The proposed method also can be used for many other nonlinear evolution equations.
Highlights
The nonlinear partial differential equations of mathematical physics are major subjects in physical science [1]
The objective of this article is to apply the exp (−φ (ξ )) -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 uid mechanics, hydrodynamics, optics, plasma physics and so on. (2015) The exp −φ (ξ ) -Expansion Method and Its Application for Solving Nonlinear Evolution Equations. The objective of this article is to apply the exp (−φ (ξ )) -expansion method for finding the exact traveling wave solution of dynamical system in a new double-Chain model of DNA and a diffusive predator-prey system which play an important role in biology and mathematical physics.
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