Classification of ordinary differential equations by conditional linearizability and symmetry

Mahomed, F. M.; Qadir, Asghar

doi:10.1016/j.cnsns.2011.06.012

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2012

2021

Publication Types

Select...

Article5

Relationship

Self Cite2

Independent3

Authors

Journals

Cited by 8 publications

(1 citation statement)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is one of the motivations for studying this method. Another hope for the study of the linearization problem is that by using it we may be able to provide a complete classification of ODEs according to the number of arbitrary initial conditions that can be satisfied [17].…”

Section: Introductionmentioning

confidence: 99%

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

Dutt¹,

Qadir²

2014

Communications in Nonlinear Science and Numerical Simulation

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%