Radha, R. ; Lakshmanan, M. (1997) Exotic coherent structures in the (2+1) dimensional long dispersive wave equation Journal of Mathematical Physics, 38 (1). pp. 292-299. ISSN 0022-2488
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Official URL: http://link.aip.org/link/?JMAPAQ/38/292/1
Related URL: http://dx.doi.org/10.1063/1.531844
Abstract
In this paper, we investigate the integrability aspects of the (2+1) dimensional coupled long dispersive wave (2LDW) equation introduced recently by Chakravarty, Kent, and Newman and establish its Painleve (P-) property. We then deduce its bilinear form from the P analysis and use it to construct wave type solutions for the field variables. We then identify line solitons for the composite field variable "qr" which eventually helps to bring out the peculiar localization behavior of the system by generating localized structures (dromions) for the composite field from out of only one ghost soliton driving the boundary. We have then extended this analysis to multidromion solutions.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| ID Code: | 19526 |
| Deposited On: | 22 Nov 2010 12:27 |
| Last Modified: | 07 Jun 2011 06:41 |
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