Meromorphic solutions of a third order nonlinear differential equation

DOI10.1063/1.3319568zbMath1309.34006arXiv1002.1209OpenAlexW3105432541WikidataQ115333439 ScholiaQ115333439MaRDI QIDQ5246633

Tuen-Wai Ng, Robert Conte

Publication date: 21 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1209

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Meromorphic functions of one complex variable (general theory) (30D30) Elliptic functions and integrals (33E05)

Related Items (12)

Classifying algebraic invariants and algebraically invariant solutions ⋮ Exact Meromorphic Stationary Solutions of the Real Cubic Swift-Hohenberg Equation ⋮ Rationality of meromorphic functions between real algebraic sets in the plane ⋮ Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation ⋮ Meromorphic solutions of autonomous ordinary differential equations without the finiteness property ⋮ Elliptic and multiple-valued solutions of some higher order ordinary differential equations ⋮ Nonlinear Loewy factorizable algebraic ODEs and Hayman's conjecture ⋮ Thermal solitons along wires with flux-limited lateral exchange ⋮ All meromorphic solutions of some algebraic differential equations and their applications ⋮ Closed-form meromorphic solutions of some third order boundary layer ordinary differential equations ⋮ Classification of meromorphic integrals for autonomous nonlinear ordinary differential equations with two dominant monomials ⋮ Meromorphic solutions of difference Riccati equations

Uses Software

• algcurves

Cites Work

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• Nevanlinna theory and complex differential equations
• Front propagation into unstable states
• Analytic solitary waves of nonintegrable equations
• Estimates of the proximate function of differential polynomials
• Non-existence of elliptic travelling wave solutions of the complex Ginzburg--Landau equation
• Meromorphic solutions of higher order Briot–Bouquet differential equations
• Elliptic General Analytic Solutions
• Meromorphic solutions of equations of Briot-Bouquet type

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