Abstract

A perturbation theory is developed for vector solitons, based on the derivation of the adiabatic evolution of the vector–soliton parameters under a generic perturbation. This perturbation theory was used to describe interactions between vector solitons and the related intersoliton forces. Some specific cases were analyzed that showed the dynamics under the mixture of coherent and incoherent forces characterizing the vector–soliton interactions.

© 2001 Optical Society of America

Interaction between vector solitons and solitonic gluons

Elena A. Ostrovskaya, Yuri S. Kivshar, Zhigang Chen, and Mordechai Segev
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Observation of bound states of interacting vector solitons

Zhigang Chen, Michelle Acks, Elena A. Ostrovskaya, and Yuri S. Kivshar
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Multipole spatial vector solitons

Anton S. Desyatnikov, Dragomir Neshev, Elena A. Ostrovskaya, Yuri S. Kivshar, Wieslaw Krolikowski, Barry Luther-Davies, Juan J. García-Ripoll, and Víctor M. Pérez-García
Opt. Lett. 26(7) 435-437 (2001)

Interaction of initially overlapping solitons with different frequencies

V. V. Afanasjev and V. A. Vysloukh
J. Opt. Soc. Am. B 11(12) 2385-2393 (1994)

Propagation and interaction of optical solitons in random media

F. Kh. Abdullaev, J. H. Hensen, S. Bischoff, M. P. Sørensen, and J. W. Smeltink
J. Opt. Soc. Am. B 15(9) 2424-2432 (1998)