Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality
DOI10.1016/j.nuclphysb.2015.11.024zbMath1332.37049arXiv1510.01173OpenAlexW2174323374WikidataQ57949767 ScholiaQ57949767MaRDI QIDQ253064
Anjan Kundu, Vincent Caudrelier, Anastasia Doikou, Jean Avan
Publication date: 7 March 2016
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.01173
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Related Items (20)
Cites Work
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- Degenerately integrable systems
- Self-duality of the compactified Ruijsenaars-Schneider system from quasi-Hamiltonian reduction
- The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
- What is a classical r-matrix?
- Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
- Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case
- General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and constants of motion
- The periodic problem for the Korteweg-de Vries equation
- Inverse problem for periodic finite-zoned potentials in the theory of scattering
- A multisymplectic approach to defects in integrable classical field theory
- The sine-Gordon model with integrable defects revisited
- Liouville integrable defects: the non-linear Schrödinger paradigm
- Method for Solving the Korteweg-deVries Equation
- A Unified Approach to Boundary Value Problems
- A simple model of the integrable Hamiltonian equation
- Nonlinear evolution of lower hybrid waves
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Introduction to Classical Integrable Systems
- Multisymplectic approach to integrable defects in the sine-Gordon model
- Jump-defects in the nonlinear Schrödinger model and other non-relativistic field theories
- ON A SYSTEMATIC APPROACH TO DEFECTS IN CLASSICAL INTEGRABLE FIELD THEORIES
- Integrals of nonlinear equations of evolution and solitary waves
- Generalized Hamiltonian Dynamics
- Dressing transformations and Poisson group actions
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