# On Integrable Ermakov-Painlev\'{e} IV Systems

## TL;DR

This paper introduces new integrable hybrid Ermakov-Painlevé IV systems, utilizing invariants and transformations to generate exact solutions, advancing the understanding of nonlinear integrable systems.

## Contribution

The paper presents novel hybrid Ermakov-Painlevé IV systems and employs Bäcklund transformations to derive exact solutions, contributing to integrability theory.

## Key findings

- Introduction of new hybrid Ermakov-Painlevé IV systems
- Use of invariants to establish integrability
- Generation of exact solutions via Bäcklund transformations

## Abstract

Novel hybrid Ermakov-Painlev\'{e} IV systems are introduced and an associated Ermakov invariant is used in establishing their integrability. B\"{a}cklund transformations are then employed to generate classes of exact solutions via the linked canonical Painlev\'{e} IV equation.