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Classification of meromorphic integrals for autonomous nonlinear ordinary differential equations with two dominant monomials
- Source :
- Journal of Mathematical Analysis and Applications. 479:1851-1862
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- The Nevanlinna theory is used to derive the general structure of transcendental meromorphic solutions for a wide class of autonomous nonlinear ordinary differential equations with two dominant monomials. An algebro-geometric method, which enables one to obtain these solutions explicitly, is described. New simply periodic solutions of the Lorenz system are obtained.
- Subjects :
- Monomial
Pure mathematics
Class (set theory)
Applied Mathematics
010102 general mathematics
Structure (category theory)
Lorenz system
01 natural sciences
Nevanlinna theory
Nonlinear differential equations
010101 applied mathematics
Transcendental number
0101 mathematics
Analysis
Mathematics
Meromorphic function
Subjects
Details
- ISSN :
- 0022247X
- Volume :
- 479
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Analysis and Applications
- Accession number :
- edsair.doi...........875caaffa1edc50d155a6e2627350f3f