A new class of solvable nonlinear difference equation systems
Dynamical Systems
2021-11-01 v1
Abstract
The paper deals with the following system of nonlinear difference equations \begin{equation*} x_{n+1}=ax_{n}^{2}y_{n}+bx_{n}y_{n}^{2},\ y_{n+1}=cx_{n}^{2}y_{n}+dx_{n}y_{n}^{2},\ n\in \mathbb{N}_{0}, \end{equation*} where the initial values and the parameters , , , are arbitrary real numbers, which is a new class of solvable systems of nonlinear difference equations. The general solution of the system is here obtained in closed form via a practical method.
Cite
@article{arxiv.2110.15619,
title = {A new class of solvable nonlinear difference equation systems},
author = {Durhasan Turgut Tollu},
journal= {arXiv preprint arXiv:2110.15619},
year = {2021}
}