On Conservation Forms and Invariant Solutions for Classical Mechanics Problems of Liénard Type
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-21
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In this study we apply partial Noether and λ-symmetry approaches to a second-order nonlinear autonomous equation of the form y′′+fyy′+g(y)=0, called Liénard equation corresponding to some important problems in classical mechanics field with respect to f(y) and g(y) functions.
As a first approach we utilize partial Lagrangians and partial Noether operators to obtain conserved forms of Liénard equation.
Then, as a second approach, based on the λ-symmetry method, we analyze λ-symmetries for the case that λ-function is in the form of λ(x,y,y′)=λ1(x,y)y′+λ2(x,y).
Finally, a classification problem for the conservation forms and invariant solutions are considered.
American Psychological Association (APA)
Gün Polat, Gülden& Özer, Teoman. 2014. On Conservation Forms and Invariant Solutions for Classical Mechanics Problems of Liénard Type. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-447009
Modern Language Association (MLA)
Gün Polat, Gülden& Özer, Teoman. On Conservation Forms and Invariant Solutions for Classical Mechanics Problems of Liénard Type. Advances in Mathematical Physics No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-447009
American Medical Association (AMA)
Gün Polat, Gülden& Özer, Teoman. On Conservation Forms and Invariant Solutions for Classical Mechanics Problems of Liénard Type. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-447009
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447009