Solitary Wave Solution of a Benjamin-Bona-Mahony Equation by Using a Projective Riccati Equation Method

Fitri Yessi Jami, Mahdhivan Syafwan, Haripamyu Haripamyu, Ifriani Bakri, Erni Laswinda

Abstract


We apply a projective Riccati equation method to solve a Benjamin-Bona-Mahony equation. The equation desribes the unidirectional propagation of small-amplitude long waves on the surface of water in a channel. By using the method, we confirm the existence of solitary wave solution of the equation, which is expressed in a more general form.


Keywords


Benjamin-Bona-Mahony equation, projective Riccati equation method, solitary wave solution

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References


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