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

Abstract

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

3 Pages. arXiv admin note: substantial text overlap with arXiv:2106.06634

References in corpus (1)

• Exact solutions to homogeneous and quasi-homogeneous systems of nonlinear ODEs

Cited by in corpus (1)

• A solvable nonlinear autonomous recursion of arbitrary order