Variational iteration method for modified Camassa-Holm and Degasperis-Procesi equations

作者: Ahmet Yıldırım

DOI: 10.1002/CNM.1154

关键词:

摘要: In this paper, He's variational iteration method (VIM) is employed successfully for solving modified Camassa–Holm and Degasperis–Procesi equations. method, the solution calculated in form of a convergent series with an easily computable component. This approach does not need linearization, weak nonlinearity assumptions or perturbation theory. The results show applicability, accuracy efficiency VIM nonlinear differential equations fully dispersion term. It predicted that can be widely applied science engineering problems. Copyright © 2008 John Wiley & Sons, Ltd.

参考文章(44)
Turgut Öziş, Ahmet Yıldırım, A Comparative Study of He's Homotopy Perturbation Method for Determining Frequency-amplitude Relation of a Nonlinear Oscillator with Discontinuities International Journal of Nonlinear Sciences and Numerical Simulation. ,vol. 8, pp. 243- 248 ,(2007) , 10.1515/IJNSNS.2007.8.2.243
Oktay Pashaev, Gamze Tanoğlu, Vector shock soliton and the Hirota bilinear method Chaos, Solitons & Fractals. ,vol. 26, pp. 95- 105 ,(2005) , 10.1016/J.CHAOS.2004.12.021
Mani Mehra, BV Rathish Kumar, None, Time‐accurate solution of advection–diffusion problems by wavelet‐Taylor–Galerkin method Communications in Numerical Methods in Engineering. ,vol. 21, pp. 313- 326 ,(2005) , 10.1002/CNM.750
Changbum Chun, YoonMee Ham, Newton‐like iteration methods for solving non‐linear equations Communications in Numerical Methods in Engineering. ,vol. 22, pp. 475- 487 ,(2005) , 10.1002/CNM.832
Turgut Öziş, Ahmet Yıldırım, A study of nonlinear oscillators with u1/3 force by He's variational iteration method Journal of Sound and Vibration. ,vol. 306, pp. 372- 376 ,(2007) , 10.1016/J.JSV.2007.05.021
Ji-Huan He, Variational iteration method – a kind of non-linear analytical technique: some examples International Journal of Non-linear Mechanics. ,vol. 34, pp. 699- 708 ,(1999) , 10.1016/S0020-7462(98)00048-1
Ji-Huan He, A modified Newton–Raphson method Communications in Numerical Methods in Engineering. ,vol. 20, pp. 801- 805 ,(2004) , 10.1002/CNM.664
A. Sadighi, D.D. Ganji, Exact solutions of nonlinear diffusion equations by variational iteration method Computers & Mathematics With Applications. ,vol. 54, pp. 1112- 1121 ,(2007) , 10.1016/J.CAMWA.2006.12.077
Ahmet Yıldırım, Turgut Öziş, Solutions of singular IVPs of Lane–Emden type by the variational iteration method Nonlinear Analysis: Theory, Methods & Applications. ,vol. 70, pp. 2480- 2484 ,(2009) , 10.1016/J.NA.2008.03.012