Title
On the criteria for integrability of the Liénard equation.
Abstract
Abstract The Lienard equation is of a high importance from both mathematical and physical points of view. However a question about integrability of this equation has not been completely answered yet. Here we provide a new criterion for integrability of the Lienard equation using an approach based on nonlocal transformations. We also obtain some of the previously known criteria for integrability of the Lienard equation as a straightforward consequence of our approach’s application. We illustrate our results by several new examples of integrable Lienard equations.
Year
Venue
Field
2016
Appl. Math. Lett.
Integrable system,Elliptic function,Mathematical analysis,Liénard equation,Mathematics
DocType
Volume
Citations 
Journal
57
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Nikolay A. Kudryashov14915.72
Dmitry I. Sinelshchikov2378.79