Applications of elliptic functions to ion-acoustic plasma waves

European Physical Journal D

Volumn 50, Issue 2, 2008, Pages 177-184

  Khater, A H ^a   Hassan, M M ^b   Krishnan, E V ^c   Peng, Y Z ^d  

^a Beni Suef University   (Egypt)

^b Minia University ^*  (Egypt)

^c SULTAN QABOOS UNIVERSITY   (Oman)

^d WUHAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ION ACOUSTIC WAVES; PARTIAL DIFFERENTIAL EQUATIONS; SOLITONS;

DISPERSIVE WAVES; ELLIPTIC FUNCTIONS; ION ACOUSTIC PLASMA; JACOBI ELLIPTIC FUNCTION SOLUTIONS; NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; PERIODIC WAVE SOLUTIONS; SOLI-TARY WAVE SOLUTIONS; WEIERSTRASS ELLIPTIC FUNCTION;

NONLINEAR EQUATIONS;

EID: 58149218452     PISSN: 14346060     EISSN: 14346079     Source Type: Journal    
DOI: 10.1140/epjd/e2008-00205-1     Document Type: Article

References (40)

1. M.J. Ablowitz, P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge University Press, Cambridge, 1991)
2. M. Wadati, H. Sanuki, K. Koono, Progr. Theor. Phys. 53, 419 (1975); K. Koono, M. Wadati, Progr. Theor. Phys. 53, 1652 (1975); G.L. Lamb, Rev. Mod. Phys. 43, 99 (1971); A.H. Khater, D.K. Callebaut, W. Malfliet, E.S. Kamel, J. Comput. Appl. Math. 140, 435 (2002)
3. C.S. Gardner, J.M. Greene, M.D. Kruskal, R.M. Miura, Phys. Rev. Lett. 19, 1095 (1967)
4. R. Hirota, Phys. Rev. Lett. 27, 1192 (1971)
5. W. Malfliet, Am. J. Phys. 60, 650 (1992); A.H. Khater, W. Malfliet, D.K. Callebaut, E.S. Kamel, J. Comput. Appl. Math. 140, 469 (2002)
6. W. Hereman, A. Korpel, P.P. Banerjee, Wave Motion 7, 283 (1985)
7. E.V. Krishnan, Int. J. Diff. Eqs. Appl. 8, 13 (2003)
8. S.K. Liu, Z. Fu, S.D. Liu, Q. Zhao, Phys. Lett. A 289, 69 (2001)
9. Z. Fu, S.K Liu, S.D. Liu, Q. Zhao, Phys. Lett. A 290, 72 (2001)
10. Z.Y. Yan, Academia Sinica 22, 363 (2003); A.H. Khater, M.M. Hassan, Z. Naturforsch. A 59, 389 (2004)
11. P.P. Banerjee, F.D. Daud, W. Hereman, J. Phys. A: Math. Gen. 23, 521 (1990); E.G. Fan, J. Phys. A: Math. Gen. 35, 6853 (2002)
12. Z.Y. Yan, Chaos Solit. Fract. 16, 291 (2003)
13. Y. Peng, J. Phys. Soc. Jpn 72, 1356 (2003): Y. Peng, J. Phys. Soc. Jpn 72, 1889 (2003)
14. Y. Peng, Phys. Lett. A. 314, 401 (2003); Y. Peng, Z. Naturforsch. A 60, 321 (2005)
15. Y. Peng, J. Phys. Soc. Jpn 73, 1156 (2004)
16. Y.A.V. Porubov, Phys. Lett. A 221, 391 (1996)
17. Y. Chen, Z.Y. Yan, Chaos Solit. Fract. 26, 393 (2005)
18. Y. Chen, Z.Y. Yan, Chaos Solit. Fract. 29, 948 (2006)
19. E.V. Krishnan, Y. Peng, Int. J. Pure Appl. Math. Sci. 2, 14 (2005)
20. M. Abramowitz, I. Stegun, Handbook of Mathematical Functions (Dover, 1991)
21. H.T. Davis, Introduction to Nonlinear Differrential and Integral Equations (Dover Publications, New York, 1960)
22. W. Hereman, M. Takaoka, J. Phys. A: Math. Gen. 23,4805 (1990); M. Wadati, J. Phys. Soc. Jpn 32, 1681(1972); A.H. Khater, M.M. Hassan, R.S. Temsah, J.Phys. Soc. Jpn 74, 1431 (2005)
23. H. Schamel, Plasma Phys. 14, 905 (1972); H. Schamel,J. Plasma Phys. 9, 377 (1973); A.H. Khater, A.A. Abdallah, O.H. El-Kalaawy, D.K. Callebaut, Phys. Plasmas 6, 4542 (1999)
24. T. Kawahara, J. Phys. Soc. Jpn 33, 260 (1972)
25. W. Hereman, P.P. Banerjee, A. Korpel, G. Assanto, A. Van Immerzeele, A. Meerpoel, J. Phys. A: Math. Gen. 19, 607 (1986)
26. D. Chakraboty, K.P. Das, J. Plasma Phys. 60, 151 (1998)
27. A. Bandyopadhyoy, K.P. Das, J. Plasma Phys. 62, 255 (1999)
28. E. Infeld, J. Plasma Phys. 33, 171 (1985); K.P. Das, F. Verhest, J. Plasma Phys. 41, 139 (1989); A.H. Khater, W. Malfliet, E.S. Kamel, Math. Comput. Simul. 64, 247 (2004)
29. E. Infeld, G. Rowlands, J. Plasma Phys. 10, 293 (1973)
30. Taogetusang, Sirendaoerji, Chin. Phys. 15, 2809 (2006)
31. A. Luque, H. Schamel, Phys. Rep. 415, 261 (2005); H. Schamel, A. Luque, New J. Phys. 7, 69 (2005)
32. B. Eliasson, P.K. Shukla, Phys. Rep. 422, 225 (2006)
33. H. Schamel, Phys. Plasmas 7, 4831 (2000)
34. J. Korn, H. Schamel, J. Plasma Phys. 56, 307 (1996)
35. E.J. Parkes, B.R. Duffy, P.C. Abbott, Phys. Lett. A 295, 280 (2002)
36. A.H. Khater, M.M. Hassan, R.S. Temsah, Math. Comput. Simul. 70, 221 (2005)
37. S. Torven, Phys. Scr. 33, 362 (1986); M.A. Raadu, Phys. Rep. 78, 25 (1989); G.C. Das, K.M. Sen, Contrib. Plasma Phys. 31, 647 (1991)
38. D.J. Wu, D.Y. Huang, C.G. Falthammar, Phys. Plasmas 3, 2879 (1996); A.Y. Wang, B.H. Quon, Phys. Rev. Lett. 24, 1499 (1975)
39. H. Alfven, Cosmic Plasmas (Riedel, Dordrecht, 1981), Chap. VI
40. A. Luque, H. Schamel, J.-M. Griessmeier, Phys. Plasmas 9, 4841 (2002)