# On the algebra of nonlocal symmetries for the 4D Martínez Alonso–Shabat equation

@article{Krasilshchik2020OnTA, title={On the algebra of nonlocal symmetries for the 4D Mart{\'i}nez Alonso–Shabat equation}, author={Iosif Krasil’shchik and Petr Vojcak}, journal={arXiv: Exactly Solvable and Integrable Systems}, year={2020} }

## One Citation

### Non-Abelian covering and new recursion operators for the 4D Mart\'inez Alonso-Shabat equation

- Mathematics
- 2022

. We present new recursion operators for (shadows of nonlocal) symmetries of the 4D Mart´ınez Alonso - Shabat equation u ty = u z u xy − u y u xz , and we show that their actions can produce new…

## References

SHOWING 1-10 OF 14 REFERENCES

### Nonlocal Symmetries of Integrable Linearly Degenerate Equations: A Comparative Study

- MathematicsTheoretical and Mathematical Physics
- 2018

We continue the study of Lax integrable equations. We consider four three-dimensional equations: (1) the rdDym equation uty = uxuxy − uyuxx, (2) the Pavlov equation uyy = utx + uyuxx − uxuxy, (3) the…

### Nonlocal symmetries, conservation laws, and recursion operators of the Veronese web equation

- MathematicsJournal of Geometry and Physics
- 2019

### The four-dimensional Martínez Alonso–Shabat equation: Reductions and nonlocal symmetries

- Mathematics, Physics
- 2014

### Integrable systems in 4D associated with sixfolds in Gr(4,6)

- Mathematics
- 2017

Let $Gr(d,n)$ be the Grassmannian of $d$-dimensional linear subspaces of an $n$-dimensional vector space $V$. A submanifold $X\subset Gr(d, n)$ gives rise to a differential system $\Sigma(X)$ that…

### The four-dimensional Martínez Alonso-Shabat equation: Differential coverings and recursion operators

- Mathematics
- 2014

### Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations

- Mathematics, Physics
- 1989

The theory of coverings over differential equations is exposed which is an adequate language for describing various nonlocal phenomena: nonlocal symmetries and conservation laws, Bäcklund…

### Symmetries of differential equations in mathematical physics

- Mathematics
- 1976

As a conclusion we present a table listing the differential equations which have been studied from the point of view of symmetry groups and separation of variables along with the relevant references…

### The Symbolic Computation of Integrability Structures for Partial Differential Equations

- MathematicsTexts & Monographs in Symbolic Computation
- 2017

We present a unified mathematical approach to the symbolic computation of integrability structures of partial differential equations, like Hamiltonian operators, recursion operators for symmetries…

### Integrable Systems in Four Dimensions Associated with Six-Folds in Gr(4, 6)

- Mathematics
- 2019

This article has been accepted for publication in International Mathematics Research Notices Published by Oxford University Press.