Doubly periodic solutions of the modified Kawahara equation

Dan Zhang

Chaos, Solitons & Fractals, 2005, vol. 25, issue 5, 1155-1160

Abstract: Some doubly periodic (Jacobi elliptic function) solutions of the modified Kawahara equation are presented in closed form. Our approach is to introduce a new auxiliary ordinary differential equation and use its Jacobi elliptic function solutions to construct doubly periodic solutions of the modified Kawahara equation. When the module m→1, these solutions degenerate to the exact solitary wave solutions of the equation. Then we reveal the relation of some exact solutions for the modified Kawahara equation obtained by other authors.

Date: 2005
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:25:y:2005:i:5:p:1155-1160

DOI: 10.1016/j.chaos.2004.11.084

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