Abstract
In this paper, we present a new model of Kadomtsev–Petviashvili (KP) equation, the KadomtsevPetviashvili–equal width (KP-EW) equation and the Yu–Toda–Sassa–Fukuyama (YTSF) equation. We apply the \((\frac {G^{'}}{G^{2}})\)-expansion method to solve the new models. Exact travelling wave solutions are obtained and expressed in terms of hyperbolic functions, trigonometric functions, rational functionssolutions of this equations from the method, with the aid of the software Maple.
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