Explode-decay dromions in the non-isospectral Davey-Stewartson I (DSI) equation
Analysis of PDEs
2015-06-26 v1
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.
Keywords
Cite
@article{arxiv.math/9904188,
title = {Explode-decay dromions in the non-isospectral Davey-Stewartson I (DSI) equation},
author = {R. Radha and S. Vijayalakshmi and Muthusamy Lakshmanan},
journal= {arXiv preprint arXiv:math/9904188},
year = {2015}
}