On Construction of Recursion Operators From Lax Representation
arXiv:solv-int/9909003 · doi:10.1063/1.533102
Abstract
In this work we develop a general procedure for constructing the recursion operators fro non-linear integrable equations admitting Lax representation. Svereal new examples are given. In particular we find the recursion operators for some KdV-type of integrable equations.
Latex File (AMS format), 23 pages, to be published in Journal of Mathematical Physics
Cited by in corpus (40)
- Darboux transformations and Recursion operators for differential--difference equations
- A supersymmetric Sawada-Kotera equation
- On the spectral parameter problem
- Lenard scheme for two dimensional periodic Volterra chain
- Recursion operators for dispersionless integrable systems in any dimension
- Nonlocal KdV Equations
- A strange recursion operator for a new integrable system of coupled Korteweg - de Vries equations
- Recursion operator for stationary Nizhnik--Veselov--Novikov equation
- Rational recursion operators for integrable differential-difference equations
- On recursion operators for elliptic models
- Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces
- On a method for constructing the Lax pairs for nonlinear integrable equations
- On Construction of Recursion Operator and Algebra of Symmetries for Field and Lattice Systems
- Darboux transformation with Dihedral reduction group
- A novel noncommutative KdV-type equation, its recursion operator, and solitons
- Recursion and Hamiltonian operators for integrable nonabelian difference equations
- Bäcklund Transformations and Non-Abelian Nonlinear Evolution Equations: a Novel Bäcklund Chart
- R-matrix approach to integrable systems on time scales
- Locality of symmetries generated by nonhereditary, inhomogeneous, and time-dependent recursion operators: a new application for formal symmetries
- On the recursion operators for integrable equations
- Recursion Operators admitted by non-Abelian Burgers equations: Some Remarks
- Rational Bundles and Recursion Operators for Integrable Equations on A.III-type Symmetric Spaces
- A Nonliearly Dispersive Fifth Order Integrable Equation and its Hierarchy
- Recursion Operator and Rational Lax Representation
- Recursion Operators of Some Equations of Hydrodynamic Type
- Negative flows for several integrable models
- Reciprocal link for a coupled Camassa-Holm type equation
- Drinfel'd-Sokolov construction and exact solutions of vector modified KdV hierarchy
- On Non-Commutative Integrable Burgers Equations
- Non-autonomous Svinolupov Jordan KdV Systems
- Explicit Flow Equations and Recursion Operator of the ncKP hierarchy
- The Integrability of New Two-Component KdV Equation
- Geometric Theory of the Recursion Operators for the Generalized Zakharov-Shabat System in Pole Gauge on the Algebra sl(n,C)
- Constraints and Soliton Solutions for the KdV Hierarchy and AKNS Hierarchy
- On construction of symmetries and recursion operators from zero-curvature representations and the Darboux-Egoroff system
- A new integrable discrete generalized nonlinear Schrodinger equation and its reductions
- Recursion operators for KP, mKP and Harry-Dym Hierarchies
- Backlund-Transformation-Related Recursion Operators: Application to the Self-Dual Yang-Mills Equation
- Computing almost commuting bases of ODOs and Gelfand-Dickey hierarchies
- Hamiltonian and recursion operators for a discrete analogue of the Kaup-Kupershmidt equation