Two kinds of new integrable couplings of the negative-order Korteweg-de Vries equation (Q277943)
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scientific article; zbMATH DE number 6575807
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| English | Two kinds of new integrable couplings of the negative-order Korteweg-de Vries equation |
scientific article; zbMATH DE number 6575807 |
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Two kinds of new integrable couplings of the negative-order Korteweg-de Vries equation (English)
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2 May 2016
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Summary: 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.
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