Exponentially Localized Solutions of Mel'nikov Equation
Exactly Solvable and Integrable Systems
2015-06-26 v1
Abstract
The Mel'nikov equation is a (2+1) dimensional nonlinear evolution equation admitting boomeron type solutions. In this paper, after showing that it satisfies the Painlev\'{e} property, we obtain exponentially localized dromion type solutions from the bilinearized version which have not been reported so far. We also obtain more general dromion type solutions with spatially varying amplitude as well as induced multi-dromion solutions.
Cite
@article{arxiv.nlin/0403044,
title = {Exponentially Localized Solutions of Mel'nikov Equation},
author = {C. Senthil Kumar and R. Radha and M. Lakshmanan},
journal= {arXiv preprint arXiv:nlin/0403044},
year = {2015}
}
Comments
12 pages, 2 figures, to appear in Chaos, Solitons and Fractals