Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation

Binlu Feng and Yufeng Zhang

Advances in Mathematical Physics, 2015, vol. 2015, 1-8

Abstract:

Based on some known loop algebras with finite dimensions, two different negative-order integrable couplings of the negative-order Korteweg-de Vries (KdV) hierarchy of evolution equations are generated by making use of the Tu scheme, from which the corresponding negative-order integrable couplings of the negative-order KdV equations are followed to be obtained. The resulting Hamiltonian structure of one negative integrable coupling is derived from the variational identity.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:154915

DOI: 10.1155/2015/154915

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