Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10729140 | Physics Letters A | 2011 | 7 Pages |
Abstract
This Letter is devoted to the integrability problem of planar nonlinear differential equations. We introduce a new method to detect local analytic integrability or to construct a singular series expansion of the first integral around a singular point for planar vector fields. The method allows to find new variables (essential variables) where the integrability problem is more feasible. The new method can be used in different context and is an alternative to all the methods developed up to now for any particular case.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Jaume Giné, Xavier Santallusia,