Coherent structures in weakly birefringent nonlinear optical fibers

Studies in Applied Mathematics

Volumn 97, Issue 2, 1996, Pages 127-148

  Yang, Jianke ^a  

^a University of Vermont   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIREFRINGENCE; NONLINEAR EQUATIONS; NONLINEAR OPTICS; OPTICAL FIBERS;

BIREFRINGENTS; COHERENT STRUCTURE; FUNCTIONAL FORMS; LOCALISED; NONLINEAR OPTICAL FIBER; OSCILLATING SOLUTIONS; OSCILLATING STRUCTURES; PERTURBATION METHOD; PULSE PROPAGATION; VECTOR SOLITON;

PERTURBATION TECHNIQUES;

EID: 0008046534     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1002/sapm1996972127     Document Type: Article

References (12)

1. V. E. ZAKHAROV and A B. SHABAT, Exact theory of two-dimensional self-focusing and one-dimensional self modulation of waves in nonlinear median, Soviet Phys. JETP 34:62-69 (1972).
2. C. R. MENYUK, Nonlinear pulse propagation in birefringent optical fibers, IEEE J. Quantum Electron. QE-23:174 (1987).
3. J. YANG and D. J. BENNEY, Some properties of nonlinear wave systems, Stud. Appl. Math., to appear.
4. D. J. KAUP, B. A. MALOMED, and R. S. TASGAL, Internal dynamics of a vector soliton in a nonlinear optical fiber, Phys. Rev. E 48:3049 (1993).
5. T. UEDA and W. L. KATH, Dynamics of coupled solitons in nonlinear optical fibers, Phys. Rev. A 42:563-571 (1990).
6. J. YANG, Vector solitons and their internal oscillations in birefringent nonlinear optical fibers, Stud. Appl. Math. (in press).
7. E. M. WRIGHT, G. I. STEGEMAN, and S. WABNITZ, Solitary-wave decay and symmetry-breaking instabilities in two-mode fibers, Phys. Rev. A 40:4455-4466 (1989).
8. N. N. AKHMEDIEV, A. V. BURYAK, J. M. SOTO-CRESPO, and D. R. ANDERSEN, Phase-locked stationary soliton states in birefringent nonlinear optical fibers, J. Opt. Soc. Amer. B 12:434 (1995).
9. K. J. BLOW, N. J. DORAN, and D. WOOD, Polarization instabilities for solitons in birefringent fibers. Opt. Lett. 12:202-204 (1987).
10. P. L. CHU, B. A. MALOMED, and G. D. PENG, Soliton switching and propagation in nonlinear fiber couplers: analytical results, J. Opt. Soc. Amer. B 10:1379 (1993).
11. Y. POMEAU, A. RAMANI, and B. GRAMMATICOS, Structural stability of the Korteweg-de Vries solitons under a singular perturbation, Phys. D 31:127-134 (1988).
12. P. MILEWSKI, Oscillating tails in the perturbed Korteweg-de Vries equation, Stud. Appl. Math. 90:87-90 (1993).