Linearization: Geometric, Complex, and Conditional
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-27
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
Lie symmetry analysis provides a systematic method of obtaining exact solutions of nonlinear (systems of) differential equations, whether partial or ordinary.
Of special interest is the procedure that Lie developed to transform scalar nonlinear second-order ordinary differential equations to linear form.
Not much work was done in this direction to start with, but recently there have been various developments.
Here, first the original work of Lie (and the early developments on it), and then more recent developments based on geometry and complex analysis, apart from Lie’s own method of algebra (namely, Lie group theory), are reviewed.
It is relevant to mention that much of the work is not linearization but uses the base of linearization.
American Psychological Association (APA)
Qadir, Asghar. 2012. Linearization: Geometric, Complex, and Conditional. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-993129
Modern Language Association (MLA)
Qadir, Asghar. Linearization: Geometric, Complex, and Conditional. Journal of Applied Mathematics No. 2012 (2012), pp.1-30.
https://search.emarefa.net/detail/BIM-993129
American Medical Association (AMA)
Qadir, Asghar. Linearization: Geometric, Complex, and Conditional. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-993129
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993129