Painlevé analysis of the coupled nonlinear Schrödinger equation for polarized optical waves in an isotropic medium

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

Volumn 59, Issue 2, 1999, Pages 2373-2379

  Park, Q Han ^a   Shin, H J ^a  

^a Kyung Hee University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SOFTWARE; INTEGRAL EQUATIONS; LIGHT POLARIZATION; LIGHT VELOCITY; MATRIX ALGEBRA; NONLINEAR EQUATIONS; OPTICAL FIBERS; PARTIAL DIFFERENTIAL EQUATIONS; RESONANCE; SOLITONS;

BACKLUND TRANSFORMATION; HIROTA BILINEARIZATION; INTEGRABILITY PROPERTIES; NONLINEAR SCHRODINGER EQUATION; OPTICAL PULSES; PAINLEVE ANALYSIS;

LIGHT PROPAGATION;

EID: 0033074309     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.2373     Document Type: Article

References (14)

1. G. P. Agrawal, Nonlinear Fiber Optics (Academic, New York, 1995).
2. V. E. Zakharov and A. B. Shabat, Funct. Anal. Appl. 8, 43 (1974).
3. V. E. Zakharov and E. I. Schulman, Physica D 1, 192 (1980).
4. A. P. Fordy and P. P. Kulish, Commun. Math. Phys. 89, 427 (1983)
5. P. Oh and Q-H. Park, Phys. Lett. B 383, 333 (1996).
6. Jongbae Kim, Q-H. Park, and H. J. Shin, Phys. Rev. E 58, 6746 (1998).
7. V. E. Zakharov and E. I. Schulman, Physica D 4, 270 (1982).
8. J. Weiss, M. T. Tabor, and G. Carnevale, J. Math. Phys. 24, 552 (1983).
9. R. Sahaderan, K. M. Tamizhmani, and M. Lakshmanan, J. Phys. A 19, 1783 (1986).
10. I. Bakas, Q-Han Park, and H. J. Shin, Phys. Lett. B 372, 45 (1996).
11. Q-H. Park and H. J. Shin, J. Korean Phys. Soc. 30, 336 (1997).
12. Q-H. Park and H. J. Shin, Phys. Rev. A 57, 4621 (1998)
13. Phys. Rev. AQ-H. ParkH. J. Shin57, 4643 (1998).
14. S. Helgason, Differential Geometry, Lie Groups and Symmetric Spaces, 2nd ed. (Academic, New York, 1978).