A Class of Coupled KdV systems and Their Bi-Hamiltonian Formulations

Abstract

A Hamiltonian pair with arbitrary constants is proposed and thus a sort of hereditary operators is resulted. All the corresponding systems of evolution equations possess local bi-Hamiltonian formulation and a special choice of the systems leads to the KdV hierarchy. Illustrative examples are given.

8 pages, latex

References in corpus (2)

• Integrable Theory of the Perturbation Equations
• Integrable Coupled KdV Systems

Cited by in corpus (6)

• A Coupled AKNS-Kaup-Newell Soliton Hierarchy
• A Bi-Hamiltonian Formulation for Triangular Systems by Perturbations
• Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems
• Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
• The Integrability of New Two-Component KdV Equation
• Multicomponent bi-superHamiltonian KdV systems