Exact representations for coupled bright and dark solitary waves of quadratically nonlinear systems

Journal of the Optical Society of America B: Optical Physics

Volumn 15, Issue 3, 1998, Pages 1061-1068

  Parker, D F ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; PHASE SHIFT; WAVEGUIDES;

HYPERBOLIC FUNCTIONS; MODULATION EQUATIONS; SOLITARY WAVES;

NONLINEAR OPTICS;

EID: 0032021867     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.15.001061     Document Type: Article

References (23)

1. D. N. Christodoulides and R. I. Joseph, "Vector solitons in birefringent nonlinear dispersive media," Opt. Lett. 13, 53-55 (1988).
2. M. V. Tratnik and J. E. Sipe, "Bound solitary waves in a birefringent optical fibre," Phys. Rev. A 38, 2011-2017 (1988).
3. C. R. Menyuk, "Pulse propagation in an elliptically birefringent Kerr medium," IEEE J. Quantum Electron. QE-25, 2674-2682 (1989).
4. D. F. Parker and G. K. Newboult, "Coupled nonlinear Schrödinger equations arising in fibre optics." J. Phys. Colloq. 50, 137-146 (1989).
5. L. Wang and C. C. Yang, "Existence of coupled solitary waves in optical fibers owing to mutual support between bright and dark pulses," Opt. Lett. 15, 474-476 (1990).
6. Yu. S. Kivshar, "Stable vector solitons composed of bright and dark pulses," Opt. Lett. 17, 1322-1324 (1992).
7. Yu. S. Kivshar, A. V. Buryak, and D. F. Parker, "Coupling between bright and dark solitons," Phys. Lett. A 215, 57-62 (1996).
8. R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. I. Stegeman, and H. Vanherzeele, "Self-focusing and self-defocusing by cascaded second-order effects in KTP," Opt. Lett. 17, 28-30 (1992).
9. K. Hayata and M. Koshiba, "Multidimensional solitons in quadratic nonlinear media," Phys. Rev. Lett. 71, 3275-3278 (1993).
10. M. J. Werner and P. D. Drummond, "Simulton solutions for the parametric amplifier," J. Opt. Soc. Am. B 10, 2390-2393 (1993).
11. M. J. Werner and P. D. Drummond, "Strongly coupled non-linear parametric solitary waves," Opt. Lett. 19, 613-615 (1994).
12. A. V. Buryak and Yu. S. Kivshar, "Solitons due to second harmonic generation," Phys. Lett. A 197, 407-412 (1995).
13. (2) cascading," J. Opt. Soc. Am. B 11, 2434-2443 (1994).
14. (2) cascading phenomena and their applications to all-optical signal-processing, mode-locking, pulse-compression and solitons," Opt. Quantum Electron. 28, 1691-1740 (1996).
15. A. V. Buryak, "Solitons due to quadratic nonlinearities," Ph.D. thesis (Australian National University, Canberra, 1996).
16. S. Trillo, S. Wabnitz, E. M. Wright, and G. I. Stegeman, "Optical solitary waves induced by cross-phase modulation," Opt. Lett. 13, 871-873 (1988).
17. V. V. Afanasjev, Yu. S. Kivshar, V. V. Konotop, and V. N. Serkin, "Dynamics of coupled dark and bright solitons," Opt. Lett. 14, 805-807 (1989).
18. P. Ferro and S. Trillo, "Periodical waves, domain walls, and modulational instability in dispersive quadratic media," Phys. Rev. E 51, 4944-4951 (1995).
19. A. V. Buryak and Yu. S. Kivshar, "Dark solitons in dispersive quadratic media," Opt. Lett. 20, 834-836 (1995).
20. H. He, P. D. Drummond, and B. A. Malomed, "Modulational stability in dispersive optical systems with cascaded nonlinearity," in Proceedings of the Twentieth Australian Conference on Optical Fibre Technology (IREE Society, Milsons Point, Australia, 1995), pp. 259-262.
21. Yu. N. Karamzin and A. P. Sukhorukov, "Nonlinear interaction of diffracted beams in a medium with quadratic non-linearity: mutual focusing of beams and limitation on the efficiency of optical frequency converters," JETP Lett. 20, 339-342 (1974).
22. Yu. S. Kivshar and V. V. Afanasjev, "Drift instability of dark solitons in saturable media," Opt. Lett. 21, 1135-1137 (1996).
23. A. V. Porubov and D. F. Parker, "Some general periodic solutions to coupled nonlinear Schrodinger equations," submitted to Wave Motion.