Solitons in plasmas: A lie symmetry approach

International Journal of Theoretical Physics

Volumn 48, Issue 11, 2009, Pages 3110-3113

  Khalique, Chaudry Masood ^a   Biswas, Anjan ^b  

^a NORTH WEST UNIVERSITY   (South Africa)

^b DELAWARE STATE UNIVERSITY   (United States)

Author keywords

Integrability; Lie symmetry; Solitons

Indexed keywords

EID: 70350381464     PISSN: 00207748     EISSN: 15729575     Source Type: Journal    
DOI: 10.1007/s10773-009-0107-x     Document Type: Article

References (10)

1. Biswas, A.: Quasi-stationary solitons for Langmuir waves in plasmas. Commun. Nonlinear Sci. Numer. Simul. 14(1), 69-76 (2009).
2. Burinskaya, T.M., Rauch, J.L., Mogilevskii, M.M.: Spectra of Langmuir waves in magnetized plasma with low-frequency turbulence. Plasma Phys. Rep. 30(9), 811-815 (2004).
3. Hadzievski, L., Jovanovic, M.S., Skoric, M.M., Mima, K.: Stability of one-dimensional electromagnetic solitons in relativistic laser plasmas. Phys. Plasmas 9(6), 2569-2574 (2002).
4. Hong, L., Beech, R., Osman, F., Xian-Tu, H., Sen-Yue, L., Hora, H.: Periodic and solitary waves of the cubic-quintic nonlinear Schrödinger equation. J. Plasma Phys. 70, 415-429 (2004).
5. Mancic, A., Hadzievski, L., Skoric, M.M.: Dynamics of electromagnetic solitons in relativistic plasmas. Phys. Plasmas 13, 052309 (2006).
6. Misra, A.P., Roy Chowdhury, A.: Modulated ion-acoustic wave near criticalness-a new nonlinear Schrodinger equation in a collisional plasma. Fizika A 11(4), 163-176 (2002).
7. Misra, A.P., Roy Chowdhury, A.: Modulational instability of dust acoustic waves in a dusty plasma with nonthermal electrons and ions. Eur. Phys. J. D 39(1), 49-57 (2006).
8. Mohamadou, A., Ndzana, F., Kofane, T.C.: Pulse solution of the modified cubic complex Ginzburg-Landau equations. Phys. Scr. 73, 596-600 (2006).
9. Schamel, H.: Hole equilibria in Vlasov-Poisson systems: a challenge to wave theories of ideal plasmas. Phys. Plasmas 7(12), 4831-4844 (2000).
10. Wazwaz, A.M.: Exact solutions for the fourth order nonlinear Schrodinger equations with cubic and power law nonlinearities. Math. Comput. Model. 43(7-8), 802-808 (2006).