Deformations of dispersionless Lax systems

TL;DR

This paper introduces a systematic method for deriving new integrable dispersionless Lax systems, exemplified by equations like the dispersionless Hirota, heavenly, and web equations, expanding the toolkit for integrable systems research.

Contribution

A new systematic approach for generating integrable dispersionless Lax systems from existing ones, with concrete examples provided.

Findings

Derived new integrable systems from known dispersionless Lax systems.

Presented examples including the dispersionless Hirota, heavenly, and web equations.

Established a framework for systematic generation of integrable equations.

Abstract

We consider dispersionless Lax systems and present a new systematic method of deriving new integrable systems from a given one. We provide examples that include: the dispersionless Hirota equation, the general heavenly equation and the web equations.