Application of the variational iteration method to the regularized long wave equation

作者: Elcin Yusufoglu , Ahmet Bekir

DOI: 10.1016/J.CAMWA.2006.12.073

关键词: Adomian decomposition methodWave equationMotion (geometry)Mathematical analysisLagrange multiplierVariational iteration methodConstruct (python library)Mathematics

摘要: This paper applies the variational iteration method to regularized long wave equation. In this method, a generalized Lagrange multiplier is introduced construct correction functional for discussed problem. The can be identified optimally via theory. Three invariants of motion are evaluated determine conservation properties system.

参考文章(29)
Qian Guo, Ji-Huan He, Yu-Qin Wan, An iteration formulation for normalized diode characteristics: Letters to the Editor International Journal of Circuit Theory and Applications. ,vol. 32, pp. 629- 632 ,(2004) , 10.1002/CTA.V32:6
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
Ji-Huan He, Approximate analytical solution for seepage flow with fractional derivatives in porous media Computer Methods in Applied Mechanics and Engineering. ,vol. 167, pp. 57- 68 ,(1998) , 10.1016/S0045-7825(98)00108-X
Shaher Momani, Zaid Odibat, Numerical approach to differential equations of fractional order Journal of Computational and Applied Mathematics. ,vol. 207, pp. 96- 110 ,(2007) , 10.1016/J.CAM.2006.07.015
Ji-Huan He, Approximate solution of nonlinear differential equations with convolution product nonlinearities Computer Methods in Applied Mechanics and Engineering. ,vol. 167, pp. 69- 73 ,(1998) , 10.1016/S0045-7825(98)00109-1
A. Esen, S. Kutluay, Application of a lumped Galerkin method to the regularized long wave equation Applied Mathematics and Computation. ,vol. 174, pp. 833- 845 ,(2006) , 10.1016/J.AMC.2005.05.032
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
J.L Bona, W.G Pritchard, L.R Scott, Numerical schemes for a model for nonlinear dispersive waves Journal of Computational Physics. ,vol. 60, pp. 167- 186 ,(1985) , 10.1016/0021-9991(85)90001-4
Kh.O. Abdulloev, I.L. Bogolubsky, V.G. Makhankov, One more example of inelastic soliton interaction Physics Letters A. ,vol. 56, pp. 427- 428 ,(1976) , 10.1016/0375-9601(76)90714-3
S.I. Zaki, Solitary waves of the splitted RLW equation Computer Physics Communications. ,vol. 138, pp. 80- 91 ,(2001) , 10.1016/S0010-4655(01)00200-4