Abstract

We study the existence, formation, and stability of quasi-one-dimensional (stripes) and two-dimensional (bullets) spatio-temporal soliton solutions for a (2+1)-dimensional modified nonlinear Schrödinger equation, in the presence of the self-steepening effect. These solutions, which are on top of a continuous-wave background, are either dark or antidark, the latter being supported by the self-steepening effect. We show that there exist stable small-amplitude lump solitons, which, in the context of nonlinear optics, constitute novel light bullets.

© 2001 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Spatiotemporal solitons in birefringent media near the zero-dispersion point

E. P. Fitrakis, H. E. Nistazakis, B. A. Malomed, D. J. Frantzeskakis, and P. G. Kevrekidis
J. Opt. Soc. Am. B 23(9) 1911-1919 (2006)

Light bullets in coupled nonlinear Schrödinger equations with variable coefficients and a trapping potential

Si-Liu Xu, Guo-Peng Zhao, Milivoj R. Belić, Jun-Rong He, and Li Xue
Opt. Express 25(8) 9094-9104 (2017)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (34)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription