Exact solutions of some nonlinear partial differential equations

Physica A: Statistical Mechanics and its Applications

Volumn 381, Issue 1-2, 2007, Pages 104-115

  Inan, Ibrahim E ^a   Kaya, Dogan ^a  

^a FIRAT UNIVERSITY   (Turkey)

Author keywords

Complexly coupled KdV equations; Generalized tanh function method; Sharma Tasso Olver equation; The boussinesq equation; The CKdV equation; Traveling wave solutions

Indexed keywords

APPROXIMATION THEORY; PARTIAL DIFFERENTIAL EQUATIONS;

BOUSSINESQ EQUATION; COMBINED KORTEWEG-DE VRIES (CKDV) EQUATION; SHARMA-TASSO-OLVER EQUATION; TANH FUNCTION METHOD;

FUNCTIONS;

EID: 34249733160     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.04.011     Document Type: Article

References (31)

1. Debtnath L. Nonlinear Partial Differential Equations for Scientist and Engineers (1997), Birkhauser, Boston, MA
2. Wazwaz A.M. Partial Differential Equations: Methods and Applications (2002), Balkema, Rotterdam
3. Hereman W., Banerjee P.P., Korpel A., Assanto G., van Immerzeele A., and Meerpoel A. J. Phys. A 19 (1986) 607
4. Khater A.H., Helal M.A., and El-Kalaawy O.H. Math. Methods Appl. Sci. 21 (1998) 719
5. Wazwaz A.M. Math. Comput. Simulation 56 (2001) 269
6. Elwakil S.A., El-Labany S.K., Zahran M.A., and Sabry R. Phys. Lett. A 299 (2002) 179
7. Lei Y., Fajiang Z., and Yinghai W. Chaos, Solitons & Fractals 13 (2002) 337
8. Zhang J.F. Int. J. Theor. Phys. 38 (1999) 1829
9. Wang M.L. Phys. Lett. A 213 (1996) 279
10. Wang M.L., Zhou Y.B., and Li Z.B. Phys. Lett. A 216 (1996) 67
11. Malfliet M.L. Am. J. Phys. 60 (1992) 650
12. Parkes E.J., and Duffy B.R. Comput. Phys. Commun. 98 (1996) 288
13. Duffy B.R., and Parkes E.J. Phys. Lett. A 214 (1996) 171
14. Parkes E.J., and Duffy B.R. Phys. Lett. A 229 (1997) 217
15. Hereman W. Comput. Phys. Commun. 65 (1991) 143
16. Fan E.G. Phys. Lett. A 277 (2000) 212
17. Chen H., and Zhang H. Chaos, Solitons & Fractals 19 (2004) 71
18. Chen H., and Zhang H. Appl. Math. Comput. 157 (2004) 765
19. Wazwaz A.M. Appl. Math. Comput. 154 (2004) 713
20. Wang S., Tang X.Y., and Lou S.Y. Chaos, Solitons & Fractals 21 (2004) 231
21. Jeffrey A., and Xu S. Int. J. Nonlinear Mech. 24 (1989) 425
22. Khater A.H., Callebaut D.K., Malfliet W., and Kamel E.S. J. Comput. Appl. Math. 140 (2002) 435
23. Khater A.H., Malfliet W., Callebaut D.K., and Kamel E.S. J. Comput. Appl. Math. 140 (2002) 469
24. Khater A.H., Hassan M.M., and Temsah R.S. J. Phys. Soc. Japan 74 (2005) 1431
25. Khater A.H., and Hassan M.M. Z. Natf. 59A (2004) 389
26. Khater A.H., Callebaut D.K., and Sayed S.M. J. Geom. Phys. 51 (2004) 323
27. Khater A.H., Malfliet W., and Kamel E.S. Math. Comput. Simulation 64 (2004) 247
28. Malfliet W. Math. Methods Appl. Sci. 28 (2005) 2031
29. Khater H., Callebaut D.K., and Sayed S.M. Int. J. Theoret. Phys. 45 (2006) 603
30. Khater A.H., Callebaut D.K., and Sayed S.M. J. Comput. Appl. Math. 189 (2006) 387
31. Hassan M.M., and Khater A.H. Z. Naturforsch A 60 (2006) 237