Explode-Decay Dromions in the Non-Isospectral Davey-Stewartson I (DSI) Equation

Ramaswamy Radha; S. Vijayalakshmi; M. Lakshmanan

doi:10.2991/jnmp.1999.6.2.1

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Explode-Decay Dromions in the Non-Isospectral Davey-Stewartson I (DSI) Equation

Ramaswamy Radha, S. Vijayalakshmi, M. Lakshmanan

Journal of Nonlinear Mathematical Physics1999doi:10.2991/jnmp.1999.6.2.1

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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 nonisospectral 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.

Authors

Ramaswamy Radha#1 S. Vijayalakshmi#2 M. Lakshmanan#3

Institutions

Bharathidasan University

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Explode-Decay Dromions in the Non-Isospectral Davey-Stewartson I (DSI) Equation

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