Solitary solutions for the nonlinear dispersive K (m, n) equations with fractional time derivatives

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

Volumn 370, Issue 3-4, 2007, Pages 295-301

  Odibat, Zaid M ^a  

^a AL BALQA APPLIED UNIVERSITY   (Jordan)

Author keywords

Dispersive K (m, n) equation; Fractional derivative; Homotopy perturbation method; Solitary solution

Indexed keywords

PERTURBATION TECHNIQUES;

COMPUTABLE COMPONENTS; DISPERSIVE EQUATIONS; FRACTIONAL DERIVATIVES; HOMOTOPY PERTURBATION METHOD (HPM); K (M , N) EQUATION; NONLINEAR DISPERSIVE; PHYSICAL STRUCTURES; SOLITARY SOLUTIONS;

NONLINEAR EQUATIONS;

EID: 35148888775     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.05.070     Document Type: Article

References (42)

1. Wadati M. Pramana: J. Phys. 57 5-6 (2001) 841
2. Rosenau P., and Hyman J.M. Phys. Rev. Lett. 70 5 (1993) 564
3. Olver P.J., and Rosenau P. Phys. Rev. E 53 2 (1996) 1900
4. Ismail M.S., and Taha T. Math. Comput. Simul. 74 (1998) 519
5. Wazwaz A.M. Chaos Solitons Fractals 12 8 (2001) 1549
6. He J.H., and Wu X. Chaos Solitons Fractals 29 (2006) 108
7. Wazwaz A.M. Appl. Math. Comput. 188 2 (2007) 1930
8. Wazwaz A.M. Commun. Nonlinear Sci. Numer. Simul. 13 (2008) 331
9. Wazwaz A.M. Appl. Math. Comput. 159 (2004) 577
10. Wazwaz A.M., and Helal M. Chaos Solitons Fractals 26 3 (2005) 767
11. Wazwaz A.M. Appl. Math. Comput. 159 (2004) 559
12. Wazwaz A.M. Appl. Math. Comput. 167 (2005) 1179
13. Wazwaz A.M. Appl. Math. Comput. 173 (2006) 150
14. Wazwaz A.M. Math. Comput. Simul. 56 (2001) 269
15. Wazwaz A.M. Appl. Math. Comput. 139 1 (2003) 37
16. Wazwaz A.M. Chaos Solitons Fractals 13 1 (2002) 161
17. Wazwaz A.M. Chaos Solitons Fractals 13 2 (2002) 321
18. Zhu Y., and Chang Q. Chaos Solitons Fractals 27 2 (2006) 487
19. Miller K.S., and Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations (1993), John Wiley and Sons, New York
20. Podlubny I. Fractional Differential Equations (1999), Academic Press, San Diego, CA
21. Momani S., and Odibat Z. Chaos Solitons Fractals 31 5 (2007) 1248
22. Momani S., and Odibat Z. Phys. Lett. A 355 4 (2006) 271
23. Odibat Z., and Momani S. Int. J. Nonlinear Sci. Numer. Simul. 1 7 (2006) 15
24. He J.H. Comput. Meth. Appl. Mech. Eng. 178 (1999) 257
25. He J.H. Int. J. Non-Linear Mech. 35 1 (2000) 37
26. El-Shahed M. Int. J. Nonlinear Sci. Numer. Simul. 6 2 (2005) 163
27. He J.H. Appl. Math. Comput. 151 (2004) 287
28. He J.H. Int. J. Nonlinear Sci. Numer. Simul. 6 2 (2005) 207
29. He J.H. Phys. Lett. A 374 4-6 (2005) 228
30. He J.H. Chaos Solitons Fractals 26 3 (2005) 695
31. He J.H. Phys. Lett. A 350 1-2 (2006) 87
32. Z. Odibat, S. Momani, Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order, Chaos Solitons Fractals, in press
33. He J.H. Appl. Math. Comput. 135 (2003) 73
34. He J.H. Appl. Math. Comput. 156 (2004) 527
35. He J.H. Appl. Math. Comput. 156 (2004) 591
36. He J.H. Chaos Solitons Fractals 26 3 (2005) 827
37. Siddiqui A., Mahmood R., and Ghori Q. Int. J. Nonlinear Sci. Numer. Simul. 7 1 (2006) 7
38. He J.H. Int. J. Mod. Phys. B 20 10 (2006) 1141
39. Abbasbandy S. Appl. Math. Comput. 172 (2006) 485
40. Odibat Z., and Momani S. Appl. Math. Model. 32 (2008) 28
41. Odibat Z. Appl. Math. Comput. 189 (2007) 746
42. Caputo M. J. Roy. Astron. Soc. 13 (1967) 529