Travelling solitons in the parametrically driven nonlinear Schroedinger equation
Pattern Formation and Solitons
2009-10-31 v3
Abstract
We show that the parametrically driven nonlinear Schroedinger equation has wide classes of travelling soliton solutions, some of which are stable. For small driving strengths nonpropogating and moving solitons co-exist while strongly forced solitons can only be stably when moving sufficiently fast.
Keywords
Cite
@article{arxiv.nlin/0010008,
title = {Travelling solitons in the parametrically driven nonlinear Schroedinger equation},
author = {I. V. Barashenkov and E. V. Zemlyanaya and M. Baer},
journal= {arXiv preprint arXiv:nlin/0010008},
year = {2009}
}
Comments
The paper is available as the JINR preprint E17-2000-147(Dubna, Russia) and the preprint of the Max-Planck Institute for the Complex Systems mpipks/0009011, Dresden, Germany. It was submitted to Physical Review E