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

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  • Inc, Mustafa

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.

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  • Inc, Mustafa, 2008. "New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 792-798.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:3:p:792-798
    DOI: 10.1016/j.chaos.2006.09.064
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    Cited by:

    1. Bratsos, A.G., 2009. "A predictor–corrector scheme for the improved Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2083-2094.

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