Infinitely Many Commuting Nonlocal Symmetries for Modified Martinez Alonso-Shabat Equation

TL;DR

This paper introduces a recursion operator and an infinite hierarchy of nonlocal commuting symmetries for the modified Martinez Alonso-Shabat equation, advancing the understanding of its integrability properties.

Contribution

The work provides the first explicit construction of a recursion operator and an infinite hierarchy of nonlocal symmetries for this equation, revealing its rich symmetry structure.

Findings

Recursion operator for the modified Martinez Alonso-Shabat equation derived.

Infinite hierarchy of nonlocal commuting symmetries constructed.

Enhanced understanding of the equation's integrability properties.

Abstract

We present a recursion operator and an infinite hierarchy of nonlocal commuting symmetries for the modified Martinez Alonso-Shabat equation $u_y u_{xz} + \alpha u_x u_{ty} - (u_z + \alpha u_t)u_{xy} = 0$.