Hamiltonian structures for integrable hierarchies of Lagrangian PDEs
DOI10.46298/OCNMP.7491zbMATH Open1548.37097WikidataQ114020602 ScholiaQ114020602MaRDI QIDQ6580253
Publication date: 29 July 2024
Published in: Open Communications in Nonlinear Mathematical Physics (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06) Variational principles and methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K58)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Non-local Poisson structures and applications to the theory of integrable systems
- Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms
- On the Lagrangian structure of integrable quad-equations
- Poisson brackets for Lagrangians linear in the velocity
- Canonical structure of classical field theory in the polymomentum phase space
- The problem of integrable discretization: Hamiltonian approach
- Variational symmetries and Lagrangian multiforms
- Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems
- Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs
- A variational perspective on continuum limits of ABS and lattice GD equations
- A variational approach to Lax representations
- Commutativity in Lagrangian and Hamiltonian mechanics
- Discrete systems and integrability
- What is integrability of discrete variational systems?
- On the Lagrangian Structure of Integrable Hierarchies
- Variational symmetries and pluri-Lagrangian systems
- On the Lagrangian formulation of multidimensionally consistent systems
- Discrete-time Calogero–Moser system and Lagrangian 1-form structure
- Hamiltonian multiform description of an integrable hierarchy
- Lagrangian multiforms and multidimensional consistency
- Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems
- Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System
- Variational symmetries and pluri-Lagrangian systems in classical mechanics
- Continuum limits of pluri-Lagrangian systems
- On the quasi-Hamiltonian formalism of the KdV equation
This page was built for publication: Hamiltonian structures for integrable hierarchies of Lagrangian PDEs
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6580253)
