Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations

A. R. Seadawy and A. Sayed

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

The modeling of unidirectional propagation of long water waves in dispersive media is presented. The Korteweg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM) equations are derived from water waves models. New traveling solutions of the KdV and BBM equations are obtained by implementing the extended direct algebraic and extended sech-tanh methods. The stability of the obtained traveling solutions is analyzed and discussed.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:926838

DOI: 10.1155/2014/926838

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