HE'S HOMOTOPY PERTURBATION METHOD FOR A GENERAL RICCATI EQUATION

被引：1

作者：

Ozis, Turgut ^{[1
]}

Agirseven, Deniz ^{[2
]}

机构：

[1] Ege Univ, Fac Sci, Dept Math, TR-35100 Bornova, Turkey

[2] Trakya Univ, Fac Sci & Letters, Dept Math, TR-22030 Edirne, Turkey

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2009年 / 23卷 / 30期

关键词：

Homotopy perturbation method; Riccati equation; nonlinear equations; DIFFERENTIAL-EQUATION; COMPLEXITON SOLUTIONS; OSCILLATOR;

D O I：

10.1142/S0217979209053266

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The factorization method of the Hamiltonian in quantum mechanics is used to solve a particular type of Riccati equation. In this paper, He's homotopy perturbation method is applied to a general Riccati equation. The obtained solutions are in recursive sequence forms and, in many cases, these solutions lead to an exact solution. This property generally means that one can solve completely the eigenvalue problem for the Hamiltonian operator. The method is tested on various examples which are revealing the effectiveness and the simplicity of the method.

引用

页码：5683 / 5693

页数：11

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