Progress of pattern dynamics in plasma waves

Communications in Computational Physics

Volumn 4, Issue 5, 2008, Pages 1129-1150

  Qiao, B ^a,b,c   Zhou, Cang Tao ^c,d,e   He, X T ^c,d,e   Lai, C H ^b  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c INSTITUTE OF APPLIED PHYSICS AND COMPUTATIONAL MATHEMATICS   (China)

^d PEKING UNIVERSITY   (China)

^e ZHEJIANG UNIVERSITY   (China)

Author keywords

Homoclinic chaos; Nonlinear Schr dinger equations; Pattern dynamics; Plasma waves

Indexed keywords

EID: 57849109017     PISSN: 18152406     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (49)

1. X. T. He, Acta Phys. Sin. 30, 1415 (1981).
2. X. T. He, Acta Phys. Sin. 31, 1317 (1982).
3. C. T. Zhou, X. P.He, S. G. Chen, Phys. Rev. A 46, 2277 (1992), also the references therein.
4. C. T. Zhou, S. P.Zhu, X. T. He, Phys. Rev. A 46, 3486 (1992).
5. X. T. He, C. T. Zhou, J. Phys. A 26,4123 (1993).
6. C. T. Zhou, X. T. He, Comm. Theor. Phys. 19, 231 (1993).
7. C. T. Zhou, X. T. He, Chinese Phys. Lett. 10, 290 (1993).
8. C. T. Zhou, X. T. He, Mod. Phys. Lett. B 8 1503 (1994).
9. C. T. Zhou, X. T. He, Phys. Scr. 50, 415 (1994).
10. C. T. Zhou, X. T. He, Phys. Rev. E 49, 4417 (1994).
11. C. T. Zhou, X. T. He, T. X. Cai, Phys. Rev. E 50, 4136 (1994).
12. C. T. Zhou, C. H. Lai, Int. J. Mod. Phys. C 7, 775 (1996).
13. X. T. He, C. Y. Zheng, Phys. Rev. Lett. 74, 78 (1995).
14. Y. Tan, X. T. He, S. G. Chen, Phys. Rev. A 45, 6109 (1992).
15. C. Y. Zheng, X. T. He, Y. Tan, Modern Phys. Lett. B 8, 833 (1994).
16. C. T. Zhou, M. Y. Yu, X. T. He, Phys. Rev. E 73, 026209 (2006).
17. C. T. Zhou, Chaos 16, 013124 (2006).
18. B. Qiao, C. H. Lai, C. T. Zhou, X. T. He, X. G. Wang, Appl. Phys. Lett. 91, 221114 (2007).
19. B. Qiao, C. H. Lai, C. T. Zhou, X. T. He, X. G. Wang, Phys. Plasmas 14, 112301 (2007).
20. See for example, Y. S. Kivshar, G. P. Agrawal, Optical Solitons: From Fibers to Photonic Cryptals, Academic Press, London, 2003.
21. K. Okamota, Fundamentals of Optical Waveguides, Academic Press, London, 2000.
22. A. V. Borovsky, A. L. Galkin, A. B. Shiryaev, T. Auguste, Laser Physics at Relativistic Intensities, Springer, Berlin, 2003.
23. P. Gibbon, Short Pulse Laser Interactions with Matter - An Introduction, Imperial College Press, London, 2005.
24. P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).
25. M. J. Alblowitz, H. Segur, J. Fluid Mech. 93, 691 (1979).
26. T,.Taninuti, H. Washimi, Phys. Rev. Lett. 21, 209 (1968).
27. A. I. Olemskoi, V. F. Klepikov, Phys. Reports 338, 571 (2000).
28. F. T. Arecchi, S. Boccaletti, P. L. Ramazza, Phys. Reports 318, 1 (1999).
29. A. S. Mikhailova and K. Showalterb, Phys. Reports 425, 79 (2006).
30. T. H. Moon, Phys. Rev. Lett. 64, 412 (1990).
31. A. J. Lichtenberg, M. A. Lieberman, Regular and Chaotic Dynamics, Springer, New York, 1992, pp. 1-20.
32. C. T. Zhou, C. H. Lai, M. Y. Yu, J. Math. Phys. 38, 5225 (1997); Phys. Scr. 55, 394 (1997).
33. G. M. Zaslavsky, R. Z. Sagdeev, D. A. Usikov, A. A. Chernikov, translated by A. R. Sagdeeva, Weak Chaos and Quasi-Regular Patterns, Cambridge University Press, Cambridge, 1991, pp. 21-35 and pp. 86-108.
34. C. Sulem, P. Sulem, The Nonlinear Schröinger Equation: Self-focusing and Wave Collapse, Springer, Berlin, 2000.
35. A. Hasegawa, Optical Solitons in Fibers, Springer-Verlag, Berlin, 1989.
36. A. Alexandrescu, G. D. Montesinos, V. M. Pérez-García, Phys. Rev. E 75, 046609 (2007).
37. T. B. Benjamin, J. E. Feir, J. Fluid Mech. 27, 417 (1967).
38. A. Cloot, B. M. Herbst, J. A. C. Weideman, J. Comput. Phys. 86, 127 (1990)
39. B. J. Lemesnrier, G. Papanicollaon, C. Sulem, P. L. Sulem, Physica D 31, 79 (1988).
40. R. Ackermann, E. Salmon, N. Lascoux, J. Kasparian, P. Rohwetter, K. Stelmaszczyk, S. Li, A. Lindinger, L. Wöste, P. Béjot, L. Bonacina, J. P. Wolf, Appl. Phys. Lett. 89, 171117 (2006).
41. K. Stelmaszczyk, P. Rohwetter, G. Méjean, J. Yu, E. Salmon, J. Kasparian, R. Ackermann, J. P. Wolf, L. Wöste, Appl. Phys. Lett. 85, 3977 (2004).
42. L. Wöste C. Wedekind, H. Wille, P. Rairoux, B. Stein, S. Nikolov, Ch. Werner, S. Niedermeier, H. Schillinger, R. Sauerbrey, Laser Optoelektron 29, 51 (1997).
43. L. Bergé, S. Skupin, F. Lederer, G. Méjean, J. Yu, J. Kasparian, E. Salmon, J. P. Wolf, M. Rodriguez, L. Wöste, R. Bourayou, R. Sauerbrey, Phys. Rev. Lett. 92, 225002 (2004), also the references herein.
44. C. T. Zhou and X. T. He, Appl. Phys. Lett. 90, 031503 (2007); ibid. 92, 071502 (2008); ibid. 92, 151502 (2008); Opt. Lett. 32, 2444 (2007).
45. C. T. Zhou, M. Y. Yu, X. T. He, J. Appl. Phys. 101, 103302 (2007); Europhys. Lett. 79, 35001 (2007); Laser Part. Beam 25, 313 (2007); Phys. Plasmas 13 092109 (2006).
46. G. Z. Sun, E. Ott, Y. C. Lee, P, Guzdar, Phys. Fluids 30, 526 (1987).
47. A. B. Borisov, O. B. Shiryaev, A. McPherson, K. Boyer, C. K. Rhodes, Plasma Phys. Control. Fusion 37, 569 (1995).
48. M. Y. Yu, P. K. Shukla, K. H. Spatschek, Phys. Rev. A 18, 1591 (1978).
49. P. Sprangle, A. Zigler, E. Esarey, Appl. Phys. Lett. 58, 346 (1991).