Recursion Operator and Rational Lax Representation

Abstract

We consider equations arising from rational Lax representations. A general method to construct recursion operators for such equations is given. Several examples are given, including a degenerate bi-Hamiltonian system with a recursion operator.

10pages

References in corpus (3)

• Classical $\mathbf{r}$-Matrices and Compatible Poisson Structures for Lax Equations on Poisson Algebras
• On Construction of Recursion Operator and Algebra of Symmetries for Field and Lattice Systems
• Recursion Operators of Some Equations of Hydrodynamic Type

Cited by in corpus (6)

• Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems
• Nonlocal Hydrodynamic Type of Equations
• Integrable dispersionless KdV hierarchy with sources
• Recursion operators for KP, mKP and Harry-Dym Hierarchies
• Recursion operator for a system admitting Lax representation with non-rational Lax function
• Hydrodynamic type integrable equations on a segment and a half-line