Lotka-Volterra systems satisfying a strong Painlevé property

DOI10.1016/J.PHYSLETA.2016.09.034zbMath1366.34018OpenAlexW2526529175MaRDI QIDQ2362629

Pol Vanhaecke, Tassos C. Bountis

Publication date: 11 July 2017

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2016.09.034

zbMATH Keywords

strong Painlevé propertyintegrable Lotka Volterra systems

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Linear ordinary differential equations and systems (34A30) Linear boundary value problems for ordinary differential equations (34B05) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (6)

New exact solutions to the high dispersive cubic-quintic nonlinear Schrödinger equation ⋮ Linear Darboux polynomials for Lotka–Volterra systems, trees and superintegrable families ⋮ Bifurcation analysis and soliton solutions to the Kuralay equation via dynamic system analysis method and complete discrimination system method ⋮ Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems ⋮ Persistence in mean and extinction on stochastic competitive Gilpin-Ayala systems with regime switching ⋮ A new class of integrable Lotka-Volterra systems

Cites Work

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• Lotka-Volterra equations in three dimensions satisfying the Kowalevski-Painlevé property
• Three integrable Hamiltonian systems connected with isospectral deformations
• From the Toda lattice to the Volterra lattice and back
• On the integrability of systems of nonlinear ordinary differential equations with superposition principles
• Integrable and superintegrable systems associated with multi-sums of products
• Hyperelliptic Prym varieties and integrable systems

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