Abstract

Families of analytical solutions are found for symmetric and antisymmetric solitons in a dual-core system with Kerr nonlinearity and parity-time (PT)-balanced gain and loss. The crucial issue is stability of the solitons. A stability region is obtained in an analytical form, and verified by simulations, for the PT-symmetric solitons. For the antisymmetric ones, the stability border is found in a numerical form. Moving solitons of both types collide elastically. The two soliton species merge into one in the “supersymmetric” case, with equal coefficients of gain, loss, and intercore coupling. These solitons feature a subexponential instability, which may be suppressed by periodic switching (“management”).

© 2011 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Symmetric and asymmetric solitons in dual-core couplers with competing quadratic and cubic nonlinearities

Lazar Gubeskys and Boris A. Malomed
J. Opt. Soc. Am. B 30(7) 1843-1852 (2013)

Discrete solitons and scattering of lattice waves in guiding arrays with a nonlinear PT -symmetric defect

Xiangyu Zhang, Jinglei Chai, Jiasheng Huang, Zhiqiang Chen, Yongyao Li, and Boris A. Malomed
Opt. Express 22(11) 13927-13939 (2014)

Stable transmission of solitons in the region of normal dispersion

Nikos Efremidis, Kyriakos Hizanidis, Boris A. Malomed, Hector E. Nistazakis, and Dimitri J. Frantzeskakis
J. Opt. Soc. Am. B 17(6) 952-958 (2000)

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 (4)

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 (5)

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