Criteria for Reducing a System of Two Nonlinear Second-Order ODEs to Linear Form via Fiber-Preserving Transformations.

Saved in:

Bibliographic Details
Title:	Criteria for Reducing a System of Two Nonlinear Second-Order ODEs to Linear Form via Fiber-Preserving Transformations.
Authors:	Suksern, Supaporn¹ supapornsu@nu.ac.th, Tammakun, Supakit² supakit.tammakun@crc.ac.th
Source:	IAENG International Journal of Applied Mathematics. May2026, Vol. 56 Issue 5, p1725-1734. 10p.
Subjects:	Nonlinear differential equations, Mathematical transformations, Dynamical systems, Mathematical analysis, Theorists
Abstract:	This study addresses the problem of linearizing for a system of two nonlinear second-order ordinary differential equations (ODEs). The study is conducted under fiberpreserving transformations. Furthermore, the paper presents linearization criteria for transforming the nonlinear system into the following linear system: u"1 + k1u'1 + k3u'2 = 0, u"2 + k4u'1 + k2u'2 = 0: Illustrative examples demonstrating the application of the developed theory are also provided. The obtained results provide a structural characterization of linearizable systems and contribute to the theory of fiberpreserving linearization. [ABSTRACT FROM AUTHOR]
	Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database:	Engineering Source

Description
Abstract:	This study addresses the problem of linearizing for a system of two nonlinear second-order ordinary differential equations (ODEs). The study is conducted under fiberpreserving transformations. Furthermore, the paper presents linearization criteria for transforming the nonlinear system into the following linear system: u"1 + k1u'1 + k3u'2 = 0, u"2 + k4u'1 + k2u'2 = 0: Illustrative examples demonstrating the application of the developed theory are also provided. The obtained results provide a structural characterization of linearizable systems and contribute to the theory of fiberpreserving linearization. [ABSTRACT FROM AUTHOR]
ISSN:	19929978