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arXiv · solv-int/9601003

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

Wen-Xiu Ma·Benno Fuchssteiner
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Abstract

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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Wen-Xiu Ma, Benno Fuchssteiner. 1996-01-26. The Bi-Hamiltonian Structure of the Perturbation Equations of KdV Hierarchy. https://doi.org/10.1016/0375-9601(96)00112-0

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