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

A. R. Seadawy and A. Sayed

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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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https://doi.org/10.1155/2014/926838

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:926838

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