Senthil Kumar, C. ; Radha, R. ; Lakshmanan, M. (2004) Exponentially localized solutions of Mel'nikov equation Chaos, Solitons & Fractals, 22 (3). pp. 705-712. ISSN 0960-0779
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.chaos.2004.02.046
Abstract
The Mel'nikov equation is a (2+1) dimensional nonlinear evolution equation admitting boomeron type solutions. In this paper, after showing that it satisfies the Painlevé property, we obtain exponentially localized dromion type solutions from the bilinearized version which have not been reported so far. We also obtain more general dromion type solutions with spatially varying amplitude as well as induced multi-dromion solutions.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 85017 |
| Deposited On: | 29 Feb 2012 06:53 |
| Last Modified: | 19 May 2016 01:13 |
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