New exact solutions of (2+1)-dimensional Gardner equation via the new sine-Gordon equation expansion method

Yong Chen and Zhenya Yan

Chaos, Solitons & Fractals, 2005, vol. 26, issue 2, 399-406

Abstract: In this paper, (2+1)-dimensional Gardner equation is investigated using a sine-Gordon equation expansion method, which was presented via a generalized sine-Gordon reduction equation and a new transformation. As a consequence, it is shown that the method is more powerful to obtain many types of new doubly periodic solutions of (2+1)-dimensional Gardner equation. In particular, solitary wave solutions are also given as simple limits of doubly periodic solutions.

Date: 2005
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:2:p:399-406

DOI: 10.1016/j.chaos.2005.01.004

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