Bibliographic Details
| Title: |
Essential variables in the integrability problem of planar vector fields |
| Authors: |
Giné, Jaume gine@matematica.udl.cat, Santallusia, Xavier1 xsantall@xtec.cat |
| Source: |
Physics Letters A. Jan2011, Vol. 375 Issue 3, p291-297. 7p. |
| Subjects: |
Nonlinear differential equations, Calculus problems & exercises, Mathematical variables, Vector fields, Integrals, Mathematical series |
| Abstract: |
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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
