New application of He's homotopy perturbation method

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 8, Issue 3, 2007, Pages 319-328

  Gorji, M ^a   Ganji, D D ^a   Soleimani, Sajjad ^a  

^a UNIVERSITY OF MAZANDARAN   (Iran)

Author keywords

Coupled Schr dinger KdV equation; Homotopy perturbation method (HPM); Nonlinear partial differential systems; Shallow water equation

Indexed keywords

EID: 34548590668     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2007.8.3.319     Document Type: Article

References (29)

1. Abdou MA, Soliman AA. New application of variational iteration method, Physica D 211: 1-8 (2005).
2. Drazin PG,Johnson RS. Solitons; An Introduction, Cambridge University Press, Cambridge, 1989.
3. Whitham GB. Linear Nonlinear Waves, John Wiley and Sons,California, 1974.
4. Debtnath L. Nonlinear Partial Differential Equations for Scientist and Engineers, Birkhauser, Boston, 1997.
5. Al-Khaled K, Allan F. Math Comput Simul. 66: 479-486 (2004).
6. He JH. A coupling method of a homotopy technique and a perturbation technique for non-linear problems, Int J Nonl Mech 35: 37-43 (2000)
7. He JH. Homotopy perturbation technique, Computer Method in Applied Mechanics and Engineering 178: 257-262(1999)
8. He JH. Homotopy perturbation method for bifurcation of nonlinear problems, Int J Nonl Sci 6 (2): 207-208 2005
9. He JH. Application of homotopy perturbation method to nonlinear wave equations, Chaos Solitons Fractals 26 : 695-700(2005)
10. He JH. Limit cycle and bifurcation of nonlinear problems, Chaos Solitons Fractals 26: 827-833(2005)
11. He JH. Asymptotology by homotopy perturbation method, Appl Math Computation 156: 591-596(2004)
12. He JH. Homotopy perturbation method for solving boundary value problems, Phys Lett A 350: 87-88(2006)
13. He JH. Periodic solutions and bifurcations of delay-differential equations, Phys Lett A 347: 228-230 (2005)
14. He JH. Some asymptotic methods for strongly nonlinear equations, Int J Modern Phys B 20: 1141-1199 (2006)
15. He JH. New interpretation of homotopy perturbation method, Int J Modern Phys B 20: 2561-2568(2006)
16. Ganji DD, Rajabi A. Assessment of homotopy-perturbation and perturbation methods in heat radiation equations, International Communications in Heat and Mass Transfer, 33 (3) (2006).
17. He JH. Variational iteration method: a kind of nonlinear analytical technique: some examples, International Journal of Nonlinear Mechanics, 34: 699-708 (1999)
18. He JH, Wu XH. Construction of solitary solution and compacton-like solution by variational iteration method, Chaos Solitons Fractals 29: 108-113(2006)
19. Ganji DD, Rafei M. Solitary wave equation for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method, Phys Lett A, 356: 131-137(2006)
20. Ganji DD. The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer, Phys Lett A, 355: 337-341 (2006)
21. Ariel PD, Hayat T, Asghar S.Homotopy perturbation method and axisymmetric flow over a stretching sheet, Int J Nonl Sci 7: 399-406 (2006)
22. Ganji DD, Sadighi A.Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations, Int J Nonl Sci 7: 411-418(2006)
23. Rafei M, Ganji DD.Explicit solutions of Helmholtz equation and fifth-order KdV equation using homotopy perturbation method, Int J Nonl Sci 7: 321-328(2006)
24. Siddiqui AM, Mahmood R, Ghori QK. Thin film flow of a third grade fluid on a moving belt by He's homotopy perturbation method, Int J Nonl Sci 7: 7-14 (2006)
25. Siddiqui AM, Ahmed M, Ghori QK. Couette and Poiseuille flows for non-Newtonian fluids, Int J Nonl Sci 7: 15-26 (2006)
26. E..Fan, Soliton solution for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation, Physics Letter A, 282: 18-22 (2001)
27. E.G.Fan, H.Q.Zhang, A note on the homogeneous balance method, Physics Letter A, 246: 403-406 (1988)
28. D.Kaya, S.M.Elsayed, Phys. Lett.A. 313 (2003) 82.
29. K.Al-Khaled, F.Allan,Math. Comput. Simul. 66: 479-486 (2004).