Cnoidal wave patterns in quadratic nonlinear media

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 6 2, 2003, Pages

  Kartashov, Yaroslav V ^a,b   Vysloukh, Victor A ^c   Torner, Lluis ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

^c UNIVERSIDAD DE LAS AMÉRICAS PUEBLA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; ELECTRON ENERGY LEVELS; FUNCTIONS; INTEGRATION; LIGHT PROPAGATION; NONLINEAR EQUATIONS; ONE DIMENSIONAL; PARTIAL DIFFERENTIAL EQUATIONS; SECOND HARMONIC GENERATION; SOLITONS;

CNOIDAL WAVE PATTERNS; ELLIPTIC JACOBI FUNCTION; NONLINEAR SCHRODINGER EQUATION; PERIODIC BOUNDARY CONDITIONS; QUADRATIC NONLINEAR MEDIA; RELAXATION METHOD;

NONLINEAR OPTICS;

EID: 42749108240     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. Yu. N. Karamzin and A. P. Sukhorukov, Sov. Phys. JETP 41, 414 (1976).
2. G. I. Stegeman et al., Opt. Quantum Electron. 28, 1691 (1996).
3. L. Torner and G. I. Stegeman, Opt. Photonics News 12, 36 (2001).
4. A. V. Buryak et al., Phys. Rep. 370, 63 (2002).
5. C. R. Menyuk et al., J. Opt. Soc. Am. B 11, 2434 (1994)
6. A. D. Boardman et al., Phys. Rev. A 52, 4099 (1995)
7. A. V. Buryak and Yu. S. Kivshar, ibid. 51, R41 (1995)
8. D. Mihalache et al., Opt. Eng. 35, 1616 (1996)
9. H. He et al., Phys. Rev. E 54, 896 (1996)
10. M. Haelterman et al., Opt. Lett. 22, 84 (1997)
11. C. Etrich et al., Opt. Quantum Electron. 30, 881 (1998)
12. A. R. Champneys et al., Physica D 152-153, 340 (2001)
13. A. C. Yew et al., J. Nonlinear Sci. 9, 33 (1999).
14. V. M. Petnikova et al., Phys. Rev. E 60, 1 (1999)
15. V. Aleshkevich et al., Opt. Commun. 185, 305 (2000)
16. V. Aleshkevich et al., J. Opt. Soc. Am. B 18, 1127 (2001)
17. V. Aleshkevich et al., Quantum Electron. 31, 257 (2001)
18. F. T. Hioe, Phys. Rev. Lett. 82, 1152 (1999).
19. Ya. V. Kartashov et al., Phys. Rev. E 67, 036613 (2003).
20. N. Korneev et al., Opt. Commun. 197, 209 (2001).
21. L. D. Carr et al., Phys. Rev. A 62, 063610 (2000)
22. L. D. Carr et al., Phys. Rev. E 63, 066604 (2001)
23. J. C. Bronski et al., Phys. Rev. Lett. 86, 1402 (2001).
24. P. Ferro and S. Trillo, Phys. Rev. E 51, 4994 (1995).
25. D. F. Parker, J. Opt. Soc. Am. B 15, 1061 (1998).
26. S. Lafortune et al., Phys. Rev. E 58, 2518 (1998).
27. S. Trillo and P. Ferro, Opt. Lett. 20, 438 (1995)
28. S. Trillo and S. Wabnitz, Phys. Rev. E 55, R4897 (1997)
29. R. A. Fuerst et al., Phys. Rev. Lett. 78, 2756 (1997)
30. H. Fang et al., Opt. Lett. 25, 1786 (2000)
31. X. Liu et al., Phys. Rev. Lett. 85, 1871 (2000).
32. P. Di Trapani and W. Chinaglia, Opt. Lett. 23, 1653 (1998)
33. A. Bramati et al., ibid. 26, 1409 (2001).
34. S. Minardi et al., Opt. Lett. 25, 326 (2000)
35. S. Minardi et al., Opt. Lett. 27, 2097 (2002).
36. Z. Chen and K. McCarthy, Opt. Lett. 27, 2019 (2002).