Explicitly Solvable Systems of First-Order Difference Equations With\n Homogeneous Polynomial Right-Hand Sides

2021/08/10 by F. Calogero, Calogero, Francesco, Farrin Payandeh +1 · 1 citation
Mathematics · Medicine · Physics and Astronomy · #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2108.04956

openalex publication_date 2021/08/10 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

In this short paper we identify special systems of (an arbitrary number) N of\nfirst-order Difference Equations with nonlinear homogeneous polynomials of\narbitrary degree M in their right-hand sides, which feature very simple\nexplicit solutions. A novelty of these findings is to consider special systems\ncharacterized by constraints involving both their parameters and their initial\ndata\n

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