New solitonary solutions for the MBBM equations using Exp-function method

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 372, Issue 4, 2008, Pages 442-446

  Yusufoǧlu, Elçin ^a  

^a DUMLUPINAR UNIVERSITY   (Turkey)

Author keywords

Modified Benjamin Bona Mahony equations; Solitonary solution; The Exp function method

Indexed keywords

PARTIAL DIFFERENTIAL EQUATIONS; SOLITONS;

BENJAMIN-BONA-MAHONY EQUATION; EXP-FUNCTION METHOD; HIGH-DIMENSIONAL; MATHEMATICAL PHYSICS; MATHEMATICAL TOOLS; NONLINEAR EVOLUTIONS; SOLITONARY SOLUTIONS; SYMBOLIC COMPUTATION;

FUNCTIONS;

EID: 37549053290     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.07.062     Document Type: Article

References (46)

1. Ablowitz M.J., and Clarkson P.A. Soliton, Nonlinear Evolution Equations and Inverse Scattering (1991), Cambridge Univ. Press, New York
2. Hirota R. Phys. Rev. Lett. 27 (1971) 1192
3. Miurs M.R. Backlund Transformation (1978), Springer, Berlin
4. Weiss J., Tabor M., and Carnevale G. J. Math. Phys. 24 (1983) 522
5. Yan C. Phys. Lett. A 224 (1996) 77
6. Wazwaz A.M. Math. Comput. Model. 40 (2004) 499
7. E. Yusufoglu, A. Bekir, M. Alp, Chaos Solitons Fractals, doi:10.1016/j.chaos.2006.10.012
8. Wang M.L. Phys. Lett. A 213 (1996) 279
9. El-Shahed M. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 163
10. He J.H. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 207
11. He J.H. Chaos Solitons Fractals 26 (2005) 695
12. He J.H. Int. J. Nonlinear Mech. 34 (1999) 699
13. He J.H. Chaos Solitons Fractals 19 (2004) 847
14. Yusufoglu E. Int. J. Nonlinear Sci. Numer. Simul. 8 2 (2007) 153
15. Yusufoglu E., and Bekir A. Phys. Lett. A 367 (2007) 461
16. E. Yusufoglu, A. Bekir, Chaos Solitons Fractals, doi:10.1016/j.chaos.2006.09.074
17. Zayed E.M.E., Zedan H.A., and Gepreel K.A. Int. J. Nonlinear Sci. Numer. Simul. 5 (2004) 221
18. Abdusalam H.A. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 99
19. Zhang S., and Xia T.C. Appl. Math. Comput. 181 (2006) 319
20. El-Wakil S.A., and Abdou M.A. Choas Solitons Fractals 31 (2007) 840
21. El-Wakil S.A., and Abdou M.A. Chaos Solitons Fractals 31 (2007) 1256
22. Hu J.Q. Chaos Solitons Fractals 23 (2005) 391
23. Yomba E. Chaos Solitons Fractals 27 (2006) 187
24. Zhang S., and Xia T.C. Phys. Lett. A 356 (2006) 119
25. Zhang S., and Xia T.C. Appl. Math. Comput. 182 (2006) 1651
26. Liu S.K., Fu Z.T., Liu S.D., and Zhao Q. Phys. Lett. A 289 (2001) 69
27. Dai C.Q., and Zhang J.F. Chaos Solitons Fractals 27 (2006) 1042
28. Zhao X.Q., Zhi H.Y., and Zhang H.Q. Chaos Solitons Fractals 28 (2006) 112
29. Zhang S. Phys. Lett. A 358 (2006) 414
30. Zhang S. Chaos Solitons Fractals 30 (2006) 1213
31. Zhang S. Chaos Solitons Fractals 32 (2007) 847
32. Abdou M.A. Chaos Solitons Fractals 31 (2007) 95
33. He J.H., and Wu X.H. Chaos Solitons Fractals 30 (2006) 700
34. X.H. (Benn)Wu, J.-H. He, Chaos Solitons Fractals, doi:10.1016/j.chaos.2007.01.024
35. He J.-H., and Abdou M.A. Chaos Solitons Fractals 34 (2007) 1421
36. Zhang S. Phys. Lett. A 365 5-6 (2007) 448
37. S. Zhang, Chaos Solitons Fractals, doi:10.1016/j.chaos.2006.11.014
38. Ebaid A. Phys. Lett. A 365 3 (2007) 213
39. (Benn)Wu X.-H., and He J.-H. Comput. Math. Appl. (2007) 10.1016/j.camwa.2006.12.041
40. Benjamin T.B., Bona J.L., and Mahony J.J. Philos. Trans. R. Soc. London, Ser. A 272 (1972) 47
41. Saut J.C., and Tzetkov N. Appl. Math. Res. Express 1 (2004) 1
42. Varlamov V., and Liu Y. Discrete Dynam. Syst. 10 (2004) 731
43. Wazwaz A.M., and Helal M.A. Chaos Solitons Fractals 26 (2005) 767
44. Wazwaz A.M. Appl. Math. Comput. 154 (2004) 713
45. Bi Q. Phys. Lett. A 360 (2007) 574
46. E. Yusufoglu, A. Bekir, Chaos Solitons Fractals, doi:10.1016/j.chaos.2007.02.004