B\"acklund transformations between four Lax-integrable 3D equations

TL;DR

This paper demonstrates that four three-dimensional Lax-integrable differential equations are interconnected through Bäcklund transformations, revealing underlying relationships among these integrable systems.

Contribution

It introduces Bäcklund transformations linking four distinct Lax-integrable 3D equations, highlighting their structural connections.

Findings

Four Lax-integrable 3D equations are related via Bäcklund transformations

The transformations reveal underlying integrable structures

New links between known integrable equations are established

Abstract

We show that four Lax-integrable 3D differential equations are related via B\"acklund transformations.