Recursion Operators for Multidimensional Integrable PDEs
arXiv:1710.05907
Abstract
We present a novel construction of recursion operators for scalar second-order integrable multidimensional PDEs with isospectral Lax pairs written in terms of first-order scalar differential operators. Our approach is quite straightforward and can be readily applied using modern computer algebra software. It is illustrated by examples, two of which are new.
6 pages, LaTeX, no figures
References in corpus (10)
- Geometry of jet spaces and integrable systems
- Hydrodynamic reductions of multi-dimensional dispersionless PDEs: the test for integrability
- On the integrability of symplectic Monge-Ampére equations
- A Simple Construction of Recursion Operators for Multidimensional Dispersionless Integrable Systems
- Nonlinear wave equation, nonlinear Riemann problem, and the twistor transform of Veronese webs
- The four-dimensional Martinez Alonso - Shabat equation: differential coverings and recursion operators
- Recursion Operators and Nonlocal Symmetries for Integrable rmdKP and rdDym Equations
- Dispersionless (3+1)-dimensional integrable hierarchies
- Symmetry, Conserved Charges, and Lax Representations of Nonlinear Field Equations: A Unified Approach
- Integrable systems in 4D associated with sixfolds in Gr(4,6)