Homogeneous Darboux polynomials and generalising integrable ODE systems
Autor: | G. R. W. Quispel, Peter H. van der Kamp, David I. McLaren |
---|---|
Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
Pure mathematics
Hierarchy (mathematics) Integrable system Nonlinear Sciences - Exactly Solvable and Integrable Systems Computational Mechanics Ode FOS: Physical sciences Mathematical Physics (math-ph) Dynamical Systems (math.DS) Computational Mathematics Homogeneous Mathematics - Classical Analysis and ODEs Ordinary differential equation Classical Analysis and ODEs (math.CA) FOS: Mathematics Exactly Solvable and Integrable Systems (nlin.SI) Mathematics - Dynamical Systems Mathematical Physics Mathematics |
Popis: | We show that any system of ODEs can be modified whilst preserving its homogeneous Darboux polynomials. We employ the result to generalise a hierarchy of integrable Lotka-Volterra systems. 6 pages |
Databáze: | OpenAIRE |
Externí odkaz: |