New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations

Mustafa Inc

Chaos, Solitons & Fractals, 2008, vol. 37, issue 3, 792-798

Abstract: In this paper, we establish exact special solutions for the nonlinearly dispersive Boussinesq equations. A new extended sn–cn method is used for obtaining compacton, solitary patterns, solitary wave, periodic wave and Jacobi elliptic function solutions for this equation with minimal calculations. As a result, abundant new compactons:solitons with the absence of infinite wings, solitary pattern solutions having infinite slopes or cups, solitary wave, periodic wave solutions and Jacobi elliptic function solutions are obtained.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:37:y:2008:i:3:p:792-798

DOI: 10.1016/j.chaos.2006.09.064

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