Abundant exact traveling wave solutions of generalized Bretherton equation via improved (G'/G)-expansion method

Communications in Theoretical Physics

Volumn 57, Issue 2, 2012, Pages 173-178

  Akbar, M Ali ^a   Ali, Norhashidah Hj Mohd ^a   Zayed, E M E ^b  

^a SCHOOL OF PHYSICS   (Malaysia)

^b Zagazig University   (Egypt)

Author keywords

improved (G' G) expansion method; nonlinear evolution equations; the Bretherton equation; travelling wave solutions

Indexed keywords

EID: 84856834811     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/57/2/01     Document Type: Article

References (35)

1. C. Rogers and W.F. Shadwick 1982 Backlund Transformations (Academic Press, New York)
2. R. Hirota 1971 Phys. Rev. Lett. 27 1192
3. M.L. Wang 1996 Phys. Lett. A 213 279
4. W. Malfliet 1992 Am. J. Phys. 60 650
5. Y.B. Zhou, M.L. Wang and Y.M. Wang 2003 Phys. Lett. A 308 31
6. M.L. Wang and Y.B. Zhou 2003 Phys. Lett. A 318 84
7. M.L. Wang, Y.M. Wang and J.L. Zhang 2003 Chin. Phys. 12 1341
8. S.J. Liao 1992 PhD Dissertation (Shanghai Jiao Tong University) (in English)
9. S.J. Liao 1992 A Kind of Linear Invariance under Homotopy and Some Simple Applications of It in Mechanics (Institut Fuer Schifl'bau der Universitaet Hamburg) Bericht Nr. 520
10. S. Liu, Z. Fu, S. Liu and Q. Zhao 2001 Phys. Lett. A 289 69
11. J.H. He 1997 Commun. Non. Sci. Numer. Simulat. 2 235
12. J.H. He and X.H. Wu 2006 Chaos, Solitons Fractals 30 700
13. G. Adomian 1994 Solving Frontier Problems of Physics: The Decomposition Method (Kluwer Academic, Boston, MA)
14. N.A. Kudryashov 1991 Phys. Lett. A 155 269
15. M.L. Wang, X. Li and J. Zhang 2008 Phys. Lett. A 372 417
16. A. Bekir 2008 Phys. Lett. A 372 3400
17. H. Naher, F.A. Abdullah and M.A. Akbar 2011 Math. Prob. Engr. Volume Article ID 218216 (in press)
18. E.M.E. Zayed 2009 J. Appl. Math. Comput. 30 89
19. S. Zhang, J. Tong and W. Wang 2008 Phys. Lett. A 372 2254
20. J. Zhang, X. Wei and Y. Lu 2008 Phys. Lett. A 372 3653
21. C.Q. Dai, Q. Yang and Y.Y. Wang 2011 Commun. Theor. Phys. 55 622
22. S. Guo and Y. Zhou 2010 Appl. Math. Comput. 215 3214
23. L. Wei 2010 Commun. Theor. Phys. 54 599
24. E.M.E. Zayed and S. Al-Joudi 2010 Math. Prob. Engr. Volume Article ID 768573, 19 pages.
25. E.M.E. Zayed 2009 J. Phys. A: Math. Theor. 42 195202
26. E.M.E. Zayed 2011 J. Appl. Math. Inform. 29 351
27. J. Zhang, F. Jiang and X. Zhao 2010 Int. J. Comput. Math. 87 (8) 1716
28. E.M.E. Zayed and K.A. Gepreel 2010 Int. J. Non. Sci. Numer. Simul. 11 273
29. F.P. Bretherton 1964 J. Fluid Mech. 20 457
30. N.A. Kudryashov 1991 Phys. Lett. A 155 269
31. N.A. Kudryashov, D.I. Sinelshchikov and M.V. Demina 2011 Phys. Lett. A 375 1074
32. N.G. Berloff and L.N. Howard 1998 Stud. Appl. Math. 100 195
33. A.A. Darwish and A. Ramady 2007 Chaos, Solitons Fractals 33 1263
34. A. Esfahani 2011 Commun. Theor. Phys. 55 381
35. F.J. Romeiras 2009 Appl. Math. Comput. 215 1791