Application of the Homotopy Perturbation Method to the Modified Regularized Long-Wave Equation

被引：23

作者：

Achouri, Talha ^{[1
]}

Omrani, Khaled ^{[1
]}

机构：

[1] Inst Super Sci Appl & Technol Sousse, Sousse 4003, Ibn Khaldoun, Tunisia

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 26卷 / 02期

关键词：

homotopy perturbation method; MRLW equation; conservation laws; solitary waves solution; PARTIAL-DIFFERENTIAL-EQUATION; MAHONY-BURGERS EQUATION; BOUNDARY-VALUE-PROBLEMS; DE-VRIES EQUATION; DECOMPOSITION METHOD; NONLINEAR EQUATIONS; NUMERICAL-SOLUTIONS; MRLW EQUATION; FLOW;

D O I：

10.1002/num.20441

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the homotopy perturbation method (HPM) is used to implement the modified regularized long-wave (MRLW) equation with some initial conditions. The method is very efficient and convenient and can be applied to a large class of problems. In the last, three invariants of the motion are evaluated to determine the conservation properties of the system. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 399-411, 2010

引用

页码：399 / 411

页数：13

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