Non-abelian covering and new recursion operators for the 4D Martínez Alonso-Shabat equation. (English) Zbl 1509.35018
Summary: We present new recursion operators for (shadows of nonlocal) symmetries of the 4D Martínez Alonso-Shabat equation \(u_{ty}=u_zu_{xy}-u_yu_{xz}\), and we show that their actions can produce new symmetries which are not contained in the Lie algebra of nonlocal symmetries presented in our work with I. S. Krasil’shchik [J. Geom. Phys. 163, Article ID 104122, 12 p. (2021; Zbl 1461.35014)]. To this end, we construct a non-abelian covering of the equation in question using the Lax pair with two non-removable parameters.
Citations:
Zbl 1461.35014Software:
JetsReferences:
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