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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.

The exp(-&amp;phi;(&amp;xi;))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations

The exp(-φ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations