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Research Article Open access CC BY 4.0

The Solitary Travelling Wave Solutions of Some Nonlinear Partial Differential Equations Using the Modified Extended Tanh Function Method with Riccati Equation

M. M. El-Horbaty, F. M. Ahmed

Asian Research Journal of Mathematics · pp. 1–13 · Published 30 Jan 2018

10.9734/ARJOM/2018/36887

Abstract

In this work, we aimed to construct a variety of solitary travelling wave solutions of a wide class of nonlinear partial differential equations (PDE's) that is governed by a presented single nonlinear partial differential equation (PDE) using the powerful modified extended Tanh method with Riccati equation. More general solutions are successfully constructed including the previous known formal solutions such as shock wave, periodic and weirstrass solutions.

Modified Extended Tanh Riccati equation solitary wave solutions nonlinear PDE’s.

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