Reduction of fourth order ordinary differential equations to second and third order Lie linearizable forms

被引：2

作者：

Dutt, Hina M. ^{[1
]}

Qadir, Asghar ^{[1
]}

机构：

[1] Natl Univ Sci & Technol, Sch Nat Sci, Islamabad 44000, Pakistan

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 08期

关键词：

Linearization; Reducible to Lie linearizable forms autonomous ODE; Classification of ODEs; CONDITIONAL LINEARIZABILITY; CRITERIA; POINT;

D O I：

10.1016/j.cnsns.2013.12.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Meleshko presented a new method for reducing third order autonomous ordinary differential equations (ODEs) to Lie linearizable second order ODEs. We extended his work by reducing fourth order autonomous ODEs to second and third order linearizable ODEs and then applying the Ibragimov and Meleshko linearization test for the obtained ODEs. The application of the algorithm to several ODEs is also presented. (C) 2014 Elsevier B. V. All rights reserved.

引用

页码：2653 / 2659

页数：7

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