Application of homotopy perturbation method to the RLW and generalized modified Boussinesq equations
作者： M. Rafei , D.D. Ganji , H.R. Mohammadi Daniali , H. Pashaei
DOI: 10.1016/J.PHYSLETA.2006.11.047
关键词:
摘要: In this Letter, He's homotopy perturbation method (HPM) is implemented for finding the solitary-wave solutions of regularized long-wave (RLW) and generalized modified Boussinesq (GMB) equations. We obtain numerical these equations initial conditions. will show that convergence HPM faster than those obtained by Adomian decomposition (ADM). The solutions, in comparison with exact admit a remarkable accuracy. A clear conclusion can be drawn from results provides highly accurate nonlinear differential
harvard.edu
elsevier.com
sci-hub.se 参考文章(28)
L R Scott, J L Bona, W G Pritchard, A Comparison of Solutions of Two Model Equations for Long Waves. Dynamics in Astrophysics and Geophysics. ,vol. 20, pp. 34238- ,(1983)
M.A. Helal, Soliton solution of some nonlinear partial differential equations and its applications in fluid mechanics Chaos Solitons & Fractals. ,vol. 13, pp. 1917- 1929 ,(2002) , 10.1016/S0960-0779(01)00189-8
JI-HUAN HE, SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS International Journal of Modern Physics B. ,vol. 20, pp. 1141- 1199 ,(2006) , 10.1142/S0217979206033796
A. H. Khater, M. A. Helal, O. H. El-Kalaawy, Bäcklund transformations: exact solutions for the KdV and the Calogero-Degasperis-Fokas mKdV equations Mathematical Methods in the Applied Sciences. ,vol. 21, pp. 719- 731 ,(1998) , 10.1002/(SICI)1099-1476(19980525)21:8<719::AID-MMA971>3.0.CO;2-5
J.P. Albert, J.L. Bona, D.B. Henry, Sufficient conditions for stability of solitary-wave solutions of model equations for long waves Physica D: Nonlinear Phenomena. ,vol. 24, pp. 343- 366 ,(1987) , 10.1016/0167-2789(87)90084-4
Shi-jun Liao, A kind of approximate solution technique which does not depend upon small parameters — II. An application in fluid mechanics International Journal of Non-linear Mechanics. ,vol. 32, pp. 815- 822 ,(1997) , 10.1016/S0020-7462(96)00101-1
M. C. Shen, Asymptotic Theory of Unsteady Three-Dimensional Waves in a Channel of Arbitrary Cross Section SIAM Journal on Applied Mathematics. ,vol. 17, pp. 260- 271 ,(1969) , 10.1137/0117026
D. J. Korteweg, G. de Vries, XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves Philosophical Magazine Series 1. ,vol. 39, pp. 422- 443 ,(1895) , 10.1080/14786449508620739
Shi-Jun Liao, An approximate solution technique not depending on small parameters: A special example International Journal of Non-linear Mechanics. ,vol. 30, pp. 371- 380 ,(1995) , 10.1016/0020-7462(94)00054-E
Ji-Huan He, The homotopy perturbation method for nonlinear oscillators with discontinuities Applied Mathematics and Computation. ,vol. 151, pp. 287- 292 ,(2004) , 10.1016/S0096-3003(03)00341-2