Periodic and localized solutions of the long wave–short wave resonance interaction equation

Authors: Radha, R.; Kumar, C Senthil; Lakshmanan, M.; Tang, X.Y.; Lou, S.Y.

Source: Journal of Physics A: Mathematical and General, Volume 38, Number 44, 4 November 2005 , pp. 9649-9663(15)

Publisher: Institute of Physics Publishing

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Abstract:

In this paper, we investigate the (2+1)-dimensional long wave–short wave resonance interaction (LSRI) equation and show that it possess the Painlevé property. We then solve the LSRI equation using Painlevé truncation approach through which we are able to construct solution in terms of three arbitrary functions. Utilizing the arbitrary functions present in the solution, we have generated a wide class of elliptic function periodic wave solutions and exponentially localized solutions, such as dromions, multidromions, instantons, multi-instantons and bounded solitary wave solutions.

Document Type: Research article

DOI: 10.1088/0305-4470/38/44/003

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