Soliton solutions of the two-dimensional KdV-Burgers equation by homotopy perturbation method

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

Volumn 370, Issue 5-6, 2007, Pages 433-436

  Molabahrami, A ^a   Khani, F ^a,b   Hamedi Nezhad, S ^b  

^a ILAM UNIVERSITY   (Iran)

^b Bakhtar Institute of Higher Education Iran   (Iran)

Author keywords

Burgers' equation; Homotopy perturbation method; Korteweg de Vries equation; Soliton solution; Two dimensional Korteweg de Vries Burgers' equation

Indexed keywords

PERTURBATION TECHNIQUES; SOLITONS;

BURGERS' EQUATIONS; HE'S HOMOTOPY PERTURBATION METHODS; HOMOTOPY PERTURBATION METHOD (HPM); INITIAL CONDITIONS; KDV-BURGERS EQUATION; KORTEWEG-DE VRIES; NUMERICAL SOLUTION; SOLITON SOLUTIONS;

KORTEWEG-DE VRIES EQUATION;

EID: 35349019329     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.05.101     Document Type: Article

References (29)

1. Abbasbandy S. Chaos Solitons Fractals 30 (2006) 1206
2. M.T. Darvishi, F. Khani, A.A. Soliman, Comput. Math. Appl., in press
3. Debtnath L. Nonlinear Partial Differential Equations for Scientists and Engineers (1997), Birkhäuser, Boston
4. Fan E. Phys. Lett. A 227 (2000) 212
5. Fan E., Zhang J., and Hon B.Y.C. Phys. Lett. A 291 (2001) 376
6. He J.H. Commun. Nonlinear Sci. Numer. Simulat. 2 4 (1997) 235
7. He J.H. Commun. Nonlinear Sci. Numer. Simulat. 2 4 (1997) 230
8. He J.H. Comput. Methods Appl. Mech. Engrg. 167 (1998) 69
9. He J.H. Int. J. Nonlinear Mech. 34 (1999) 699
10. He J.H. Comput. Methods Appl. Mech. Engrg. 178 3/4 (1997) 230
11. He J.H. Comput. Method Appl. Mech. Engrg. 167 1-2 (1998) 57
12. He J.H. Int. J. Nonlinear Mech. 35 1 (2000) 37
13. He J.H. Appl. Math. Comput. 135 (2003) 73
14. He J.H. Appl. Math. Comput. 156 (2004) 527
15. He J.H. Chaos Solitons Fractals 26 3 (2005) 827
16. He J.H. Appl. Math. Comput. 156 3 (2004) 591
17. He J.H. Phys. Lett. A 350 1-2 (2006) 87
18. He J.H. Int. J. Mod. Phys. B 20 18 (2006) 2561
19. He J.H. Int. J. Mod. Phys. B 20 10 (2006) 1141
20. Hirota R. Phys. Rev. Lett. 27 (1971) 1192
21. Li Z.B., and Wang M.L. J. Phys. A 26 (1993) 6027
22. Ma W.X. J. Phys. A 26 (1993) L17
23. Nayfeh A.H. Problems in Perturbation (1985), John Wiley, New York
24. Parkes E.J. J. Phys. A 27 (1994) L497
25. Wang M.L. Phys. Lett. A 213 (1996) 279
26. Wazwaz A.M. Partial Differential Equations Methods and Applications (2002), Balkema, Rotterdam
27. Yan C.T. Phys. Lett. A 224 (1996) 77
28. Yan Z.Y., and Zhang H.Q. J. Phys. A 34 (2001) 1785
29. Yan Z.Y., and Zhang H.Q. Phys. Lett. A 285 (2001) 355