Approximate traveling wave solution for shallow water wave equation

被引：19

作者：

Imani, A. A. ^{[2
]}

Ganji, D. D. ^{[1
]}

Rokni, Houman B. ^{[1
]}

Latifizadeh, H. ^{[3
]}

Hesameddini, Esmail ^{[3
]}

Rafiee, M. Hadi ^{[4
]}

机构：

[1] Babol Univ Technol, Dept Mech Engn, Babol Sar, Iran

[2] Islamic Azad Univ, Babol Branch, Babol Sar, Iran

[3] Shiraz Univ Technol, Dept Math, Fac Basic Sci, Shiraz, Iran

[4] Babol Univ Technol, Dept Civil Engn, Babol Sar, Iran

来源：

APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 04期

关键词：

Reconstruction of variational iteration; method; Traveling wave; Shallow Water Equation (SWE); Approximate solution; Coupled Whitham-Broer-Kaup (CWBK); VARIATIONAL ITERATION METHOD; WHITHAM-BROER-KAUP; HES ENERGY-BALANCE; NONLINEAR OSCILLATIONS; VIBRATION; SYSTEMS;

D O I：

10.1016/j.apm.2011.09.030

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Reconstruction of Variational Iteration Method (RVIM) is used for computing the coupled Whitham-Broer-Kaup shallow water. Then RVIM solution is verified against exact one and is compared with powerful approximate solutions, the Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM). The existent error of the methods is computed and convergence of the RVIM solution has been presented. Results obtained expose effectiveness and capability of this method to solve the nonlinear systems in mechanics, analytically. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1550 / 1557

页数：8

共 32 条

[1]

[Anonymous], J MATH PROBLEMS ENG

[2] HE'S ENERGY BALANCE METHOD TO EVALUATE THE EFFECT OF AMPLITUDE ON THE NATURAL FREQUENCY IN NONLINEAR VIBRATION SYSTEMS [J].