Trilinearization and localized coherent structures and periodic solutions for the (2+ 1) dimensional K-dV and NNV equations

Senthil Kumar, C. ; Radha, R. ; Lakshmanan, M. (2009) Trilinearization and localized coherent structures and periodic solutions for the (2+ 1) dimensional K-dV and NNV equations Chaos, Solitons & Fractals, 39 (2). pp. 942-955. 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.2007.01.066

Abstract

In this paper, using a novel approach involving the truncated Laurent expansion in the Painleve analysis of the (2 + 1) dimensional K-dV equation, we have trilinearized the evolution equation and obtained rather general classes of solutions in terms of arbitrary functions. The highlight of this method is that it allows us to construct generalized periodic structures corresponding to different manifolds in terms of Jacobian elliptic functions, and the exponentially decaying dromions turn out to be special cases of these solutions. We have also constructed multi-elliptic function solutions and multi-dromions and analysed their interactions. The analysis is also extended to the case of generalized Nizhnik-Novikov-Veselov (NNV) equation, which is also trilinearized and general class of solutions obtained.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:85026
Deposited On:29 Feb 2012 07:03
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