New Soliton Solutions for Systems of Nonlinear Evolution Equations by the Rational Sine-Cosine Method

Marwan Alquran, Kamel Al-Khaled, Hasan Ananbeh

Abstract


In this paper, we construct new solitary solutions to nonlinear PDEs by the rational Sine and Cosine method. Moreover, the periodic solutions and bell-shaped solitons solutions to the Benjamin-Bona-Mahony and the Gardner equations are obtained. New solutions to Broer-Kaup (BK) system are also obtained. Finally, the solution of a two-component evolutionary system of a homogeneous Kdv equations of order  has been investigated by the proposed method.

Keywords


Wave variables; Rational Sine-Cosine Method; Nonlinear PDEs; Evolutionary equations

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DOI: http://dx.doi.org/10.3968%2Fj.sms.1923845220110301.105

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