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Abstract
The paper employs the exp(−Φ(ξ))–expansion method for finding exact solutions of the Vakhnenko–Parkes (VP) equation. Each of the obtained solutions, namely hyperbolic function solutions, trigonometric function solutions, exponential function solutions and rational function solutions, contain an explicit function of the variables in the considered equation. It has been shown that the method provides a powerful mathematical tool for solving non–linear wave equations in mathematical physics and engineering problems.
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