Time-fractional KdV equation for plasma of two different temperature electrons and stationary ion

Physics of Plasmas

Volumn 18, Issue 9, 2011, Pages

  El Wakil, S A ^a   Abulwafa, Essam M ^a   El Shewy, E K ^a   Mahmoud, Abeer A ^a  

^a Mansoura University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

BROADBAND ELECTROSTATIC NOISE; COLD ELECTRONS; ELECTRON ACOUSTIC SOLITARY WAVES; EULER-LAGRANGE EQUATIONS; FINITE AMPLITUDE; HOMOGENEOUS SYSTEM; KDV EQUATIONS; NONLINEAR PROPERTIES; NONTHERMAL; REDUCTIVE PERTURBATION; UNMAGNETIZED COLLISIONLESS PLASMA; VARIATIONAL METHODS;

COLLISIONLESS PLASMAS; COMPUTATIONAL MECHANICS; ELECTRONS; EQUATIONS OF MOTION; HOT ELECTRONS; PERTURBATION TECHNIQUES; SOLITONS;

NONLINEAR EQUATIONS;

EID: 80053537615     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3640533     Document Type: Article

References (36)

1. Advances in Fractional Calculus, edited by, J. Sabatier, O. P. Agrawal, and, J. A. T. Machado, Springer, Dordrecht, 2007.
2. D. Baleanu and J. A. T. Machado (Guest Editors), Phys. Scr. 2009 (T136), 011001 (2009). 10.1088/0031-8949/2008/T136/011001
3. New Trends in Nanotechnology and Fractional Calculus Applications, edited by, D. Baleanu, Z. B. Gven, and, J. A. T. Machado, (Springer, Dordrecht, 2010).
4. D. del-Castello-Negrete, B. A. Carreras, and V. E. Lynch, Phys. Rev. Lett. 94, 065003 (2005). 10.1103/PhysRevLett.94.065003 (Pubitemid 40620776)
5. R. Sanchez, B. A. Carreras, D. E. Newman, V. E. Lynch, and B. Ph. van Milligen, Phys. Rev. E 74, 016305 (2006). 10.1103/PhysRevE.74.016305 (Pubitemid 44147334)
6. K. Gustafson, D. del-Castillo-Negrete, and W. Dorland, Phys. Plasmas 15, 102309 (2008). 10.1063/1.3003072
7. D. Henry and J. P. Treguier, J. Plasma Phys. 8, 311 (1972). 10.1017/S0022377800007169
8. R. Pottelette, R. E. Ergun, R. A. Treumann, M. Berthomier, C. W. Carlson, J. P. McFadden, and I. Roth, Geophys. Res. Lett. 26, 2629, doi: 10.1029/1999GL900462 (1999).
9. M. Temerin, K. Cerny, W. Lotko, and F. S. Mozer, Phys. Rev. Lett. 48, 1175 (1982). 10.1103/PhysRevLett.48.1175
10. R. Bostrm, G. Gustafsson, B. Holback, G. Holmgren, H. Koskinen, and P. Kintner, Phys. Rev. Lett. 61, 82 (1988). 10.1103/PhysRevLett.61.82
11. N. Dubouloz, R. Pottellette, M. Malingre, G. Holmgren, and P. A. Lindqvist, J. Geophys. Res. 96, 3565, doi: 10.1029/90JA02355 (1991).
12. F. S. Mozer, R. E. Ergun, M. Temerin, C. Cattell, J. Dombeck, and J. Wygant, Phys. Rev. Lett. 79, 1281 (1997). 10.1103/PhysRevLett.79.1281
13. R. E. Ergun, C. W. Carlson, J. P. McFadden, F. S. Mozer, G. T. Delory, W. Peria, C. C. Chaston, M. Temerin, I. Roth, L. Muschietti, R. Elphic, R. Strangeway, R. Pfaff, C. A. Cattell, D. Klumpar, E. Shelley, W. Peterson, E. Moebius, and L. Kistler, Geophys. Res. Lett. 25, 2041, doi: 10.1029/98GL00636 (1998).
14. S. R. Bounds, R. F. Pfaff, S. F. Knowlton, F. S. Mozer, M. A. Temerin, and C. A. Kletzing, J. Geophys. Res. 104, 28709, doi: 10.1029/1999JA900284 (1999).
15. N. Dubouloz, R. Pottelette, M. Malingre, and R. A. Treumann, Geophys. Res. Lett. 18, 155 (1991). 10.1029/90GL02677
16. N. Dubouloz, R. A. Treumann, R. Pottelette, and M. Malingre, J. Geophys. Res. 98, 17415, doi: 10.1029/93JA01611 (1993).
17. S. V. Singh, R. V. Reddy, and G. S. Lakhina, Adv. Space Res. 28, 1643 (2001). 10.1016/S0273-1177(01)00479-3 (Pubitemid 34025936)
18. A. A. Mamun and P. K. Shukla, J. Geophys. Res. 107, 1135, doi: 10.1029/2001JA009131 (2002).
19. S. V. Singh and G. S. Lakhina, Nonlinear Processes Geophys. 11, 275 (2004). 10.5194/npg-11-275-2004
20. B. Sahu and R. Roychoudhury, Phys. Plasmas 11, 1947 (2004). 10.1063/1.1695558
21. B. Sahu, Phys. Plasmas 17, 122305 (2010). 10.1063/1.3527988
22. M. Tribeche and L. Djebarni, Phys. Plasmas 17, 124502 (2010). 10.1063/1.3522777
23. H. Washimi and T. Taniuti, Phys. Rev. Lett. 17, 996 (1966). 10.1103/PhysRevLett.17.996
24. E. K. El-Shewy, Chaos, Solitons Fractals 26, 1073 (2005). 10.1016/j.chaos.2005.01.060 (Pubitemid 40715530)
25. E. K. El-Shewy, Chaos, Solitons Fractals 31, 1020 (2007). 10.1016/j.chaos.2006.03.104 (Pubitemid 44247672)
26. S. A. El-Wakil, E. M. Abulwafa, M. A. Zahran, and A. A. Mahmoud, Nonlinear Dyn. 65, 55 (2011). 10.1007/s11071-010-9873-5
27. I. Podlubny, Fractional Differential Equations (Academic Press, San Diego, 1999).
28. S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives: Theory and Applications (Gordon and Breach, New York, 1998).
29. S. Momani, Z. Odibat, and A. Alawneh, Numer. Methods Partial Differ. Equ. 24, 262 (2008). 10.1002/num.v24:1
30. J.-H. He, Commun. Nonlinear Sci. Numer. Simul. 2, 230 (1997). 10.1016/S1007-5704(97)90007-1
31. R. A. Cairns, A. A. Mamun, R. Bingham, R. Bostrm, R. O. Dendy, C. M. C. Nairn, and P. K. Shukla, Geophys. Res. Lett. 22, 2709, doi: 10.1029/95GL02781 (1995).
32. S. V. Singh and G. S. Lakhina, Planet. Space Sci. 49, 107 (2001). 10.1016/S0032-0633(00)00126-4 (Pubitemid 33648362)
33. J.-H. He, Int. J. Turbo Jet Engines 14, 23 (1997). 10.1515/TJJ.1997.14.1. 23
34. J.-H. He, Chaos, Solitons Fractals 19, 847 (2004). 10.1016/S0960-0779(03) 00265-0
35. O. P. Agrawal, J. Math. Anal. Appl. 272, 368 (2002). 10.1016/S0022- 247X(02)00180-4
36. O. P. Agrawal, J. Physics A: Math. Theor. 40, 6287 (2007). 10.1088/1751-8113/40/24/003