The Bi-Hamiltonian Structure of the Perturbation Equations of KdV Hierarchy

Details The Bi-Hamiltonian Structure of the Perturbation Equations of KdV Hierarchy The Bi-Hamiltonian Structure of the Perturbation Equations of KdV Hierarchy

1996-01-26

arxiv.org/abs/solv-int/9601003v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages, Latex, submitted to Phys. Lett. A

Scientific paper

The bi-Hamiltonian structure is established for the perturbation equations of
KdV hierarchy and thus the perturbation equations themselves provide also
examples among typical soliton equations. Besides, a more general
bi-Hamiltonian integrable hierarchy is proposed and a remark is given for a
generalization of the resulting perturbation equations to $1+2$ dimensions.

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