Symmetries and invariant solutions of the planar paraxial wave equation in photosensitive media

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 6, 2002, Pages

  Senthilvelan, M ^a   Poladian, L ^a   de Sterke, C Martijn ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROOPTICAL EFFECTS; INTEGRATION; LIGHT PROPAGATION; NONLINEAR SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; PHOTONS; PHOTOSENSITIVITY; PROBLEM SOLVING;

ELECTRO-OPTIC CRYSTAL; ONE-PHOTON PROCESSES; PLANAR PARAXIAL WAVE EQUATION; SELF-WRITTEN WAVEGUIDES; TWO-PHOTON PROCESSES;

WAVE EQUATIONS;

EID: 41349106726     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.066607     Document Type: Article

References (20)

1. T. M. Monro, D. Moss, M. Bazylenko, C. M. de Sterke, and L. Poladian, Phys. Rev. Lett. 80, 4072 (1998).
2. C. Meneghini and A. Villeneuve, J. Opt. Soc. Am. B 15, 2946 (1998).
3. W. S. Brocklesby, S. J. Field, D. C. Hanna, A. C. Large, J. R. Lincoln, D. P. Shepherd, A. C. Tropper, P. J. Chandler, P. D. Townsend, L. Zhang, X. Q. Feng, and Q. Hu, Opt. Mater. 1, 177 (1992).
4. A. S. Kewitsch and A. Yariv, Opt. Lett. 21, 24 (1996).
5. A. S. Kewitsch and A. Yariv, Appl. Phys. Lett. 68, 455 (1996).
6. S. Shoji and S. Kawata, Appl. Phys. Lett. 75, 737 (1999).
7. S. J. Frisken, Opt. Lett. 18, 1035 (1993).
8. D. Homoelle, S. Wielandy, A. L. Gaeta, N. F. Borrelli, and C. Smith, Opt. Lett. 24, 1311 (1999).
9. G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
10. T. M. Monro, L. Poladian, and C. M. de Sterke, J. Opt. Soc. Am. B 16, 1680 (1999).
11. T. M. Monro, L. Poladian, and C. M. de Sterke, Phys. Rev. E 57, 1104 (1998).
12. T. M. Monro, P. D. Miller, L. Poladian, and C. M. de Sterke, Opt. Lett. 23, 268 (1998).
13. M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering Transform (Cambridge University Press, Cambridge, 1991).
14. M. J. Ablowitz, A. Ramani, and H. Segur, J. Math. Phys. 21, 715 (1980).
15. J. Weiss, M. Tabor, and G. Carnevale, J. Math. Phys. 24, 522 (1983).
16. P. J. Olver, Applications of Lie Groups to Differential Equations (Springer, New York, 1986).
17. G. W. Bluman and S. Kumei, Symmetries and Differential Equations (Springer, New York, 1989).
18. P. E. Hydon, Symmetry Methods for Differential Equations: A Beginner’s Guide (Cambridge University Press, Cambridge, 2000).
19. A. Head, Comput. Phys. Commun. 77, 241 (1993).
20. M. Lakshmanan and R. Sahadevan, Phys. Rep. 224, 1 (1993).