Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems

DOI10.1063/1.2344853zbMath1112.37064arXivnlin/0510068OpenAlexW2011775636MaRDI QIDQ3442033

Błażej M. Szablikowski, Maciej Błaszak

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0510068

Mathematics Subject Classification ID

Related Items (8)

Recursion operator for a system with non-rational Lax representation ⋮ On the linearization covering technique and its application to integrable nonlinear differential systems ⋮ Differential-geometric structure and the Lax-Sato integrability of a class of dispersionless heavenly-type equations ⋮ Classical M. A. Buhl problem, its Pfeiffer-Sato solutions, and the classical Lagrange-d'Alembert principle for the integrable heavenly-type nonlinear equations ⋮ New completely integrable dispersionless dynamical system of heavenly type generated by vector fields on a torus ⋮ Integrable discrete systems on R and related dispersionless systems ⋮ Dispersionful analog of the Whitham hierarchy ⋮ Hierarchies of Manakov-Santini type by means of Rota-Baxter and other identities

Cites Work

• What is a classical r-matrix?
• Method of averaging for two-dimensional integrable equations
• An \(r\)-matrix approach to nonstandard classes of integrable equations
• Recursion operator and dispersionless rational Lax representation
• Classical \(R\)-matrices on Poisson algebras and related dispersionless systems
• Target-space duality between simple compact Lie groups and Lie algebras under the Hamiltonian formalism. I: Remnants of duality at the classical level
• Reductions of the Benney equations.
• The Atiyah-Bott-Patodi method in deformation quantization
• Waterbag reductions of the dispersionless discrete KP hierarchy
• THE TOPOLOGICAL CP¹ MODEL AND THE LARGE-N MATRIX INTEGRAL
• TOPOLOGICAL CONFORMAL FIELD THEORY WITH A RATIONAL W POTENTIAL AND THE DISPERSIONLESS KP HIERARCHY
• Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature
• The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
• R-matrix approach to lattice integrable systems
• From dispersionless to soliton systems via Weyl–Moyal-like deformations
• ClassicalR-matrix theory of dispersionless systems: I. (1   1)-dimension theory
• Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations
• Dispersionful analogues of Benney's equations and N -wave systems
• The algebraic and Hamiltonian structure of the dispersionless Benney and Toda hierarchies

This page was built for publication: Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems