Multi-Lagrangians for integrable systems

DOI10.1063/1.1427765zbMath1059.37055arXivhep-th/0108214OpenAlexW3125472718MaRDI QIDQ4830750

Maxim P. Pavlov, Yavuz Nutku

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/hep-th/0108214

Mathematics Subject Classification ID

Related Items (13)

Hamiltonian flows on Euler-type equations ⋮ Hamiltonian formalism for nonlinear Schrödinger equations ⋮ Recursion operators and hierarchies of mKdV equations related to the Kac-Moody algebras \(D_4^{(1)}\), \(D_4^{(2)}\), and \(D_4^{(3)}\) ⋮ Remarks on the Lagrangian representation of bi-Hamiltonian equations ⋮ MULTIPLE LOCAL LAGRANGIANS FOR n-COMPONENT SUPER-KORTEWEG–DE VRIES-TYPE BI-HAMILTONIAN SYSTEMS ⋮ On the geometry of extended self-similar solutions of the Airy shallow water equations ⋮ On the “Vacuum” Dam-Break Problem: Exact Solutions and Their Long Time Asymptotics ⋮ Variational Operators, Symplectic Operators, and the Cohomology of Scalar Evolution Equations ⋮ Integrable geodesic flows and super polytropic gas equations ⋮ Dark Equations and Their Light Integrability ⋮ N = 2 supersymmetric a=4-Korteweg–de Vries hierarchy derived via Gardner’s deformation of Kaup–Boussinesq equation ⋮ Supersymmetric nonlocal gas equation ⋮ On the bi-Hamiltonian geometry of WDVV equations

Cites Work

• On the infinite-dimensional noncommutative Lie-Bäcklund algebra associated with the equations of one-dimensional gas dynamics
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Field-dependent symmetries of a non-relativistic fluid model.
• Relationships between differential substitutions and Hamiltonian structures of the Korteweg-de Vries equation
• Fluid dynamical profile and constants of motion from \(d\)-branes
• Mathematics of dispersive water waves
• A Higher-Order Water-Wave Equation and the Method for Solving It
• Hamiltonian structures for systems of hyperbolic conservation laws
• On a new class of completely integrable nonlinear wave equations. I. Infinitely many conservation laws
• Higher-order symmetries of the compressible one-dimensional isentropic fluid equations
• On a new class of completely integrable nonlinear wave equations. II. Multi-Hamiltonian structure
• Approximate equations for long water waves
• A simple model of the integrable Hamiltonian equation
• Multi-Hamiltonian structure of the Born–Infeld equation
• Multi-Hamiltonian structure of equations of hydrodynamic type
• The Electrodynamics of Material Media

This page was built for publication: Multi-Lagrangians for integrable systems