Three dimensional bright vortex soliton
patt-sol
2007-05-23 v1 Pattern Formation and Solitons
Abstract
Using the method of separation of variables, we developed a vector nonparaxial theory for the nonlinear wave equations in strong field approximation. We found that exact localized vortex soliton solution exists for the nonlinear 3D+1 vector wave equation and for 3D+1 vector nonlinear Schr\"{o}dinger equation. This method is applicable for angular functions, which satisfy additional conditions. It is shown that exact vortex solitary wave exists only for solution with eigenvalue of momentum L=1
Cite
@article{arxiv.patt-sol/9902008,
title = {Three dimensional bright vortex soliton},
author = {L. M. Kovachev},
journal= {arXiv preprint arXiv:patt-sol/9902008},
year = {2007}
}
Comments
5 pages, no figure, pdf