Application of the exp (-∨(÷))-expansion Method to Find Exact Solutions for the Solitary Wave Equation in an Unmagnatized Dusty Plasma

In this paper, we implement the exp (-Φ(η))-expansion method to construct exact traveling wave solutions of the solitary wave equation in an unmagnatized dusty plasma and find out the approximate solution of the electrostatic wave potential equation. The procedure is simple, direct and constructive without the help of a computer algebra system. The obtained results show that the exp (-Φ(η))-expansion method is straightforward and effective mathematical tool for nonlinear evolution equations in mathematical physics and engineering. MCS (2010) No.: 35C07 • 35C08 • 35P99

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