On integrability of the Yao-Zeng two-component short-pulse equation

TL;DR

This paper explores the integrability of the Yao-Zeng two-component short-pulse equation by establishing its connection to the original short-pulse equation and deriving its zero-curvature representation.

Contribution

It provides the correct zero-curvature representation of the Yao-Zeng system, clarifying its integrability properties and relationship to the original short-pulse equation.

Findings

Established the relationship between Yao-Zeng system and the original short-pulse equation.

Derived the correct zero-curvature representation for the Yao-Zeng system.

Enhanced understanding of the integrability of coupled short-pulse equations.

Abstract

We show how the Yao-Zeng system of coupled short-pulse equations is related to the original short-pulse equation and obtain the correct zero-curvature representation of the Yao-Zeng system via this relationship.