Kadomtsev-Petviashivili equation for the relativistic electromagnetic soliton in the collisionless electron-positron-ion plasma

IEEE Transactions on Plasma Science

Volumn 33, Issue 6 II, 2005, Pages 2005-2010

  Wang, Yunliang ^a   Zhou, Zhongxiang ^a   Jiang, Xiangqian ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Cold plasma; Kadomtsev Petviashivili (KP) equation; Relativistic; Soliton

Indexed keywords

BOUNDARY CONDITIONS; CARRIER CONCENTRATION; ELECTROMAGNETIC WAVES; ELECTRONS; IONS; LINEAR EQUATIONS; MAGNETIC FIELDS; MATHEMATICAL TRANSFORMATIONS; MAXWELL EQUATIONS; POSITRONS; SOLITONS;

COLD PLASMA; COLLISIONLESS PLASMA; ELECTROMAGNETIC SOLITONS; ELECTRON EQUILIBRIUM DENSITY; ION EQUILIBRIUM DENSITY; KADOMTSEV-PETVIASHIVILI (KP); PERPENDICULAR NONLINEAR WAVE; WEAK RELATIVISTIC LIMIT;

PLASMA INTERACTIONS;

EID: 30444448022     PISSN: 00933813     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPS.2005.860120     Document Type: Article

References (26)

1. M. D. Perry and G. Mourou, "Terawatt to petawatt subpicosecond lasers," Science, vol. 264, pp. 917-924, 1994.
2. S. V. Bulanov et al., "Nonlinear depletion of ultrashort and relativistically strong laser pulsesin an underdense plasma," Phys. Fluids B, vol. 4, pp. 1935-1942, 1992.
3. M. Borghesi et al., "Macroscopic evidence of soliton formation in multiterawatt laser-plasma interaction," Phys. Rev. Lett., vol. 88, pp. 135 002-1-135 002-4, 2002.
4. K. Mima et al., "Stimulated photon cascade and condensate in a relativistic laser-plasma interaction," Phys. Plasma, vol. 8, pp. 2349-2356, 2001.
5. N. M. Nanmova et al., "Formation of electromagnetic postsolitons in plasmas," Phy. Rev. Lett., vol. 87, pp. 185 004-1-185 004-4, 2001.
6. T. Zh. Esirkepov et al., "Three-dimensional relativistic electromagnetic subcycle solitons," Phys. Rev. Lett., vol. 89, pp. 275 002-1-275 002-4, 2002.
7. Y. Sentoku et al., "Bursts of superreflected laser light from inhomogeneous plasmas due to the generation of relativistic solitary waves," Phys. Rev. Lett., vol. 83, pp. 3434-3437, 1999.
8. T. Z. Esirkepov et al., "Soliton synchrotron afterglow in a laser plasma," Phys. Rev. Lett., vol. 92, pp. 255 001-1-255 001-4, 2004.
9. M. Abo-Bakr et al., "Brilliant, coherent far-infrared (THz) synchrotron radiation," Phys. Rev. Lett., vol. 90, pp. 094 801-1-094 801-4, 2003.
10. J. H. Marburger and R. F. Tooper, "Nonlinear potical standing waves in overdense plasmas," Phys. Rev. Lett., vol. 35, pp. 1001-1004, 1795.
11. V. A. Kozlov, A. G. Litvak, and E. V. Suvorov, "Envelope solitons of relativistic strong electromagnetic waves," Sov. Phys. JETP, vol. 49, pp. 75-80, 1979.
12. P. K. Shukla, M. Y. Yu, and N. L. Tsintsadze, "Intense solitary laser pulse propagation in a plasma," Phys. Fluids, vol. 27, pp. 327-328, 1984.
13. P. K. Kaw, A. Sen, and T. Katsouleas, "Nonlinear 1-D laser pulse solitons in a plasma," Phys. Rev. Lett., vol. 68, pp. 3127-3175, 1992.
14. S. Poornakala et al., "Laser envelope solitons in cold overdense plasmas," Phys. Plasmas, vol. 9, pp. 1820-1823, 2002.
15. M. R. Rouhani et al., "Interaction of a relativistic soliton with a nonuniform plasma," Phys. Rev. E, vol. 65, pp. 066 406-1-066 406-8, 2002.
16. M. Lontano, M. Passoni, and S. V. Bulanov, "Relativistic electromagnetic soitons in a warm quasi-neutral electron-ion plasma," Phys. Plasma, vol. 10, pp. 639-649, 2003.
17. T. Z. Esirkepov et al., "Low-frequency relativistic electromagnetic solitons in collisionless plasmas," JETP. Lett, vol. 68, pp. 36-41, 1998.
18. D. Farina, M. Lontano, and S. V. Bulanov, "Relativistic solitons in magnetized plasmas," Phys. Rev. E, Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 62, pp. 4146-4151, 2002.
19. D. Furina and S. V. Bulanov, "Relativistic electromagnetic solitons in the electron-ion plasma," Phys. Rev. Lett., vol. 86, pp. 5289-5292, 2001.
20. H. Washimi and T. Taniuti, "Propagatin of ion-acoustic solitary waves of small amplitude," Phys. Rev. Lett., vol. 17, pp. 5289-5292, 1966.
21. E. Infeld, A. Senatorski, and A. A. Skompski, "Numerical simulations of Kadomtesev- Petviashvili soliton interactions," Phys. Rev. E, Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 51, pp. 3183-3191, 1995.
22. J. C. Alexander, R. L. Pego, and R. L. Sachs, "On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation," Phys. Lett. A, vol. 226, pp. 187-192, 1997.
23. J. Satsuma, "N-Soliton solution of the two-dimensional Korteweg-de Vries equation," J. Phys. Soc. Jpn., vol. 40, pp. 286-290, 1976.
24. C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, "Method for solving the Korteweg-de Vries equation," Phys. Rev. Lett., vol. 19, pp. 1095-1097, 1967.
25. P. A. Clarkson and M. K. Kruskal, "New similarity reductions of the Boussinesq equation," J. Math. Phys., vol. 30, pp. 2201-2213, 1989.
26. R. Hirota, "Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons," Phys. Rev. Lett., vol. 27, pp. 1192-1194, 1971.