https://doi.org/10.1140/epjd/e2012-30205-3
Regular Article
Bound-state dark/antidark solitons for the coupled mixed derivative nonlinear Schrödinger equations in optical fibers
1 State Key Laboratory of Information
Photonics and Optical Communications, Beijing University of Posts and
Telecommunications, Beijing
100876,
China
2 School of Science, P.O. Box 122,
Beijing University of Posts and Telecommunications, Beijing
100876,
China
a e-mail: tian.bupt@yahoo.com.cn
Received:
28
March
2012
Received in final form:
18
July
2012
Published online:
4
December
2012
In this paper, we study the bound-state dark/antidark solitons in the coupled mixed derivative nonlinear Schrödinger equations which govern the ultra-short pulses in birefringent optical fibers. The bound-state dark/antidark solitons exist only in the case of the bright-dark/antidark vector solitons. We graphically illustrate the periodic repulsion and attraction for the bound-state vector solitons consisting of one dark/antidark component. Effects of the cubic nonlinearity and derivative cubic nonlinearity on the depths/amplitudes, propagation directions and soliton positions of the bound states are studied. Several types of elasstic collisions between the bound-state vector soliton and one soliton are presented. In addition, the condition for the modulation instability of the plane wave solutions is given through the linear stability analysis.
Key words: Optical Phenomena and Photonics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2012