Explode-decay dromions in the non-isospectral Davey-Stewartson I (DSI) equation

Radha, R. ; Vijayalakshmi, S. ; Lakshmanan, M. (1999) Explode-decay dromions in the non-isospectral Davey-Stewartson I (DSI) equation Journal of Nonlinear Mathematical Physics, 6 (2). pp. 120-126. ISSN 1402-9251

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Official URL: http://www.atlantis-press.com/publications/jnmp/in...

Related URL: http://dx.doi.org/10.2991/jnmp.1999.6.2.1

Abstract

In this letter, we report the existence of a novel type of explode-decay dromions, which are exponentially localized coherent structures whose amplitude varies with time, through Hirota method for a non-isospectral Davey-Stewartson equation I discussed recently by Jiang. Using suitable transformations, we also point out such solutions also exist for the isospectral Davey-Stewartson I equation itself for a careful choice of the potentials.

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