The tanh method: solitons and periodic solutions for the Dodd–Bullough–Mikhailov and the Tzitzeica–Dodd–Bullough equations

Abdul-Majid Wazwaz

Chaos, Solitons & Fractals, 2005, vol. 25, issue 1, 55-63

Abstract: The tanh method is applied to the Dodd–Bullough–Mikhailov and the Tzitzeica–Dodd–Bullough equations. Solitons and periodic solutions for these equations are formally derived. The Painlevé property v=e±u will be employed to back up our analysis and to emphasize the effectiveness of the presented method.

Date: 2005
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:25:y:2005:i:1:p:55-63

DOI: 10.1016/j.chaos.2004.09.122

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