Criteria for Reducing a System of Two Nonlinear Second-Order ODEs to Linear Form via Fiber-Preserving Transformations.
Saved in:
| 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 |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 193517531 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Criteria for Reducing a System of Two Nonlinear Second-Order ODEs to Linear Form via Fiber-Preserving Transformations. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Suksern%2C+Supaporn%22">Suksern, Supaporn</searchLink><relatesTo>1</relatesTo><i> supapornsu@nu.ac.th</i><br /><searchLink fieldCode="AR" term="%22Tammakun%2C+Supakit%22">Tammakun, Supakit</searchLink><relatesTo>2</relatesTo><i> supakit.tammakun@crc.ac.th</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. May2026, Vol. 56 Issue 5, p1725-1734. 10p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Nonlinear+differential+equations%22">Nonlinear differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+transformations%22">Mathematical transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamical+systems%22">Dynamical systems</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Theorists%22">Theorists</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>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.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=193517531 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 1725 Subjects: – SubjectFull: Nonlinear differential equations Type: general – SubjectFull: Mathematical transformations Type: general – SubjectFull: Dynamical systems Type: general – SubjectFull: Mathematical analysis Type: general – SubjectFull: Theorists Type: general Titles: – TitleFull: Criteria for Reducing a System of Two Nonlinear Second-Order ODEs to Linear Form via Fiber-Preserving Transformations. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Suksern, Supaporn – PersonEntity: Name: NameFull: Tammakun, Supakit IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 56 – Type: issue Value: 5 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
| ResultId | 1 |
