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

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

1998-03-11

arxiv.org/abs/solv-int/9803009v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages, latex

Scientific paper

10.1088/0305-4470/31/37/016

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.

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