First Integrals, Integrating Factors, and Invariant Solutions of the Path Equation Based on Noether and λ-Symmetries
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-13
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We analyze Noether and λ-symmetries of the path equation describing the minimum drag work.
First, the partial Lagrangian for the governing equation is constructed, and then the determining equations are obtained based on the partial Lagrangian approach.
For specific altitude functions, Noether symmetry classification is carried out and the first integrals, conservation laws and group invariant solutions are obtained and classified.
Then, secondly, by using the mathematical relationship with Lie point symmetries we investigate λ-symmetry properties and the corresponding reduction forms, integrating factors, and first integrals for specific altitude functions of the governing equation.
Furthermore, we apply the Jacobi last multiplier method as a different approach to determine the new forms of λ-symmetries.
Finally, we compare the results obtained from different classifications.
American Psychological Association (APA)
Gün Polat, Gülden& Özer, Teoman. 2013. First Integrals, Integrating Factors, and Invariant Solutions of the Path Equation Based on Noether and λ-Symmetries. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-460295
Modern Language Association (MLA)
Gün Polat, Gülden& Özer, Teoman. First Integrals, Integrating Factors, and Invariant Solutions of the Path Equation Based on Noether and λ-Symmetries. Abstract and Applied Analysis No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-460295
American Medical Association (AMA)
Gün Polat, Gülden& Özer, Teoman. First Integrals, Integrating Factors, and Invariant Solutions of the Path Equation Based on Noether and λ-Symmetries. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-460295
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460295