Stability and evolution of one-dimensional relativistic solitons on the ion time scale

Physics of Plasmas

Volumn 13, Issue 9, 2006, Pages

  Lehmann, G ^a   Laedke, E W ^a   Spatschek, K H ^a  

^a HEINRICH HEINE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVES; FLUID MECHANICS; IONS; LASER ABLATION; LIGHT POLARIZATION; PLASMAS;

CIRCULAR POLARIZATIONS; FLUID-MAXWELL MODELS; LASER PLASMA INTERACTION; VAKHITOV-KOLOKOLOV CRITERION;

SOLITONS;

EID: 33749349626     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2338820     Document Type: Article

References (50)

1. A. I. Akhiezer and R. V. Polovin, Sov. Phys. JETP 3, 696 (1956).
2. A. L. Berkhoer and V. E. Zakharov, Sov. Phys. JETP 30, 344 (1970).
3. A. G. Litvak, Sov. Phys. JETP 3, 696 (1970).
4. P. K. Kaw and J. Dawson, Phys. Fluids 13, 472 (1970).
5. C. E. Max, J. Arons, and A. B. Langdon, Phys. Rev. Lett. 33, 209 (1974).
6. P. Sprangle, E. Esarey, and A. Ting, Phys. Rev. A 41, 4463 (1990).
7. S. V. Bulanov, I. N. Inovenkov, V. I. Kirsanov, N. M. Naumova, and A. S. Sakharov, Phys. Fluids B 4, 1935 (1992).
8. M. Lontano, S. V. Bulanov, F. Califano, T. Z. Esirkepov, D. Farina, J. Koga, T. V. Lseikina, K. Mima, K. Nakajima, N. M. Naumova et al., in Proceedings of the 7th International Symposium of the Graduate University for Advanced Studies on Science of Super-Strong field Interactions, Hayama, 13-15 March 2002, edited by K. Nakajima and M. Deguchi, AIP Conference Proceedings, 2002, Vol. 634, p. 87.
9. F. Pegoraro, "Solitary structures in relativistic plasmas," Autumn College on Plasma Physics, Trieste, 13 October-7 November, 2003 (private communication).
10. J. Faure, Y. Glinec, A. Pukhov, S. Kiselev, S. Gordienko, E. Lefebvre, J.-P. Rousseau, F. Burgy, and V. Malka, Nature 431, 541 (2004).
11. C. S. Liu and V. K. Tripathi, Phys. Plasmas 12, 043103 (2005).
12. S. Weber, C. Riconda, and V. T. Tikhonchuk, Phys. Plasmas 12, 043101 (2005).
13. S. Weber, C. Riconda, and V. T. Tikhonchuk, Phys. Rev. Lett. 94, 055005 (2005).
14. M. Lontano, M. Passoni, C. Riconda, V. T. Tikhonchuk, and S. Weber, Laser Part. Beams 24, 125 (2005).
15. S. Weber, M. Lontano, M. Passoni, C. Riconda, and V. T. Tikhonchuk, Phys. Plasmas 12, 112107 (2005).
16. M. Tushentsov, A. Kim, F. Cattani, D. Anderson, and M. Lisak, Phys. Rev. Lett. 87, 275002 (2001).
17. V. A. Kozlov, A. G. Litvak, and E. V. Suvorov, Sov. Phys. JETP 49, 75 (1979).
18. P. K. Kaw, A. Sen, and T. Katsouleas, Phys. Rev. Lett. 68, 3172 (1992).
19. T. Brabec and F. Krausz, Phys. Rev. Lett. 78, 3282 (1997).
20. N. Tsintsadze, J. Mendonca, and L. Oliviera de Silva, Phys. Rev. E 58, 4890 (1998).
21. S. Poornakala, A. Das, A. Sen, and P. K. Kaw, Phys. Plasmas 9, 1820 (2002).
22. S. Poornakala, A. Das, P. K. Kaw, A. Sen, Z. M. Sheng, Y. Sentoku, K. Mima, and K. Nishikawa, Phys. Plasmas 9, 3802 (2002).
23. Z. Li, L. Li, H. Tian, G. Zhou, and K. H. Spatschek, Phys. Rev. Lett. 89, 263901 (2002).
24. M. Lontano, M. Passoni, and S. V. Bulanov, Phys. Plasmas 10, 639 (2003).
25. O. Shorokhov, A. Pukhov, and I. Kostyukov, Phys. Rev. Lett. 91, 265002 (2003).
26. T. Z. Esirkepov, F. F. Kamenets, S. V. Bulanov, and N. M. Naumova, JETP Lett. 68, 36 (1998).
27. D. Farina and S. V. Bulanov, Phys. Rev. Lett. 86, 5289 (2001).
28. D. Farina and S. V. Bulanov, Plasma Phys. Controlled Fusion 47, A73 (2005).
29. S. V. Bulanov, F. Califano, G. I. Dudnikova et al., in Reviews of Plasma Physics, edited by V. Shafranov (Kluwer Academic-Consultants Bureau, New York, 2001), Vol. 22, pp. 227-335.
30. L. Gorbunov and V. Kirsanov, Sov. Phys. JETP 66, 290 (1987).
31. S. V. Bulanov, T. Z. Esirkepov, N. M. Naumova, F. Pegoraro, and V. A. Vshivkov, Phys. Rev. Lett. 82, 3440 (1999).
32. Y. Sentoku, T. Z. Esirkepov, K. Mima, K. Nishihara, F. Califano, F. Pegoraro, H. Sakagami, Y. Kitagawa, N. M. Naumova, and S. V. Bulanov, Phys. Rev. Lett. 83, 3434 (1999).
33. N. M. Naumova, S. V. Bulanov, T. Z. Esirkepov, D. Farina, K. Nishihara, F. Pegoraro, H. Ruhl, and A. Sakharov, Phys. Rev. Lett. 87, 185004 (2001).
34. K. Mima, M. S. Jovanović, Y. Sentoku, Z.-M. Sheng, M. M. Škorić, and T. Sato, Phys. Plasmas 8, 2349 (2001).
35. S. V. Bulanov, F. Califano, T. Z. Esirkepov, K. Mima, N. M. Naumova, K. Nishihara, F. Pegoraro, Y. Sentoku, and V. Vshivkov, Physica D 152-153, 682 (2001).
36. T. Esirkepov, K. Nishihara, S. V. Bulanov, and F. Pegoraro, Phys. Rev. Lett. 89, 275002 (2002).
37. M. Borghesi, S. Bulanov, D. H. Campbell, R. J. Clarke, T. Z. Esirkepov, M. Galimberti, L. Gizzi, A. MacKinnon, N. Naumova, F. Pegoraro et al., Phys. Rev. Lett. 88, 135002 (2002).
38. M. Borghesi, D. H. Campbell, A. Schiavi, M. G. Haines, O. Willi, A. J. MacKinnon, P. Patel, L. A. Gizzi, M. Galimberti, R. J. Clarke et al., Phys. Plasmas 9, 2214 (2002).
39. S. V. Bulanov and F. Pegoraro, Phys. Rev. E 65, 066405 (2002).
40. L. Hadžievski, M. S. Jovanović, M. M. Škorić, and K. Mima, Phys. Plasmas 9, 2569 (2002).
41. M. G. Vakhitov and A. A. Kolokolov, Radiophys. Quantum Electron. 16, 783 (1973).
42. C. Karle, J. Schweitzer, M. Hochbruck, E. W. Laedke, and K. H. Spatschek, J. Comput. Phys. 216, 138 (2006).
43. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
44. M. Lontano, S. V. Bulanov, and J. Koga, Phys. Plasmas 8, 5113 (2001).
45. V. Zubov, Methods of A.M. Lyapunov and Their Application (Noordhoff, Groningen, 1964).
46. R. von Mises and H. Pollaczek-Geiringer, Z. Angew. Math. Mech. 5, 58 (1929).
47. I. Malkin, Theorie der Stabilität einer Bewegung (Akademie-Verlag, Berlin, 1959).
48. V. G. Makhankov, Phys. Rep. 35, 1 (1978).
49. E. W. Laedke and K. H. Spatschek, Phys. Lett. 91A, 378 (1982).
50. E. W. Laedke and K. H. Spatschek, in Advances in Nonlinear Waves, edited by L. Debnath (Pitman, Boston, 1984), Vol. I, pp. 118-132.