NUMEROUS EXACT SOLUTIONS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS BY TAN–COT METHOD

Authors:

Md. Alamin Khan,Abu Hashan Md. Mashud,M. A. Halim,

DOI NO:

https://doi.org/10.26782/jmcms.2017.01.00004

Keywords:

Nonlinear PDEs,Exact solutions,Tan-Cot function method,Joseph–Egri equation,Sharma–Tasso–Olver equation,mKdV equation with additional first order dispersion term,KdV equation with additional fifth order dispersion term, soliton solutions,

Abstract

This theoretical investigation is made in order to get the new exact solitary wave solutions of nonlinear partial differential equations (PDEs).  The well-known Tan-Cot Function method is employed  to obtain the exact solutions of Joseph–Egri equation (TRLW), Sharma–Tasso–Olver equation (STO), mKdV (modified Korteweg-de Vries) equation with additional first order dispersion term,  and KdV (Korteweg-de Vries) equation with additional fifth order dispersion term,.  The results which have been found in this theoretical work could be applicable to understand the characteristics and elastic behavior of nonlinear structures including solitons as well as play an important role in wide range of physical applications

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