Abstract
The multiple Lagrangian formalism is constructed for n-component Korteweg–de Vries (KdV) type superintegrable systems. They all admit bi-Hamiltonian structure. The first two Lagrangians are local and degenerate. They contain Clebsch potentials for velocity fields and momentum maps in kinetic term. The first local Lagrangian for n-component supermodified KdV (smKdV) is also obtained by employing the multicomponent super-Miura transformation.
Keywords
Korteweg–de Vries equation
Physics
Degenerate energy levels
Hamiltonian (control theory)
Mathematical physics
Hamiltonian formalism
Kinetic term
Lagrangian
Formalism (music)
Component (thermodynamics)
Kinetic energy
Classical mechanics
Quantum mechanics
Nonlinear system
Mathematics
Subject Areas
Nonlinear Waves and Solitons
·Statistical and Nonlinear Physics ·Physical Sciences
Nonlinear Photonic Systems
·Statistical and Nonlinear Physics ·Physical Sciences
Quantum Mechanics and Non-Hermitian Physics
·Atomic and Molecular Physics, and Optics ·Physical Sciences
Citations by Year
2012: 1
2013: 1
Loading…
Loading…