Abstract

We study the transverse instability associated with higher-dimensional nonlinear systems. For this, a cubic–quintic-nonlinear system is considered wherein the coefficients of cubic and quintic terms are allowed to be of either focusing or defocusing nature. It is found that focusing-cubic and defocusing-quintic nonlinearity can suppress the transverse instability growth rate. The addition of guiding potentials can also suppress the instability growth rate for all kinds of solitons with the same propagation constant.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Optical vortex solitons: experiment versus theory

Barry Luther-Davies, Jason Christou, Vladimir Tikhonenko, and Yuri S. Kivshar
J. Opt. Soc. Am. B 14(11) 3045-3053 (1997)

Higher-dimensional localized mode families in parity-time-symmetric potentials with competing nonlinearities

Chao-Qing Dai and Yan Wang
J. Opt. Soc. Am. B 31(10) 2286-2294 (2014)

Stabilization of multipole-mode solitons in mixed linear-nonlinear lattices with a 𝒫𝒯 symmetry

Changming Huang, Chunyan Li, and Liangwei Dong
Opt. Express 21(3) 3917-3925 (2013)

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

Figures (8)

You do not have subscription access to this journal. Figure files 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 (6)

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