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

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...

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Bibliographic Details
Published in:Advances in mathematical physics 2015-01, Vol.2015 (2015), p.1-8
Main Authors: Feng, Binlu, Zhang, Yufeng
Format: Article
Language:English
Subjects:
Algebra
Couplings
Evolution
Hierarchies
Joining
Mathematical analysis
Quantum theory
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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 isderived from the variational identity.
ISSN:1687-9120
1687-9139
DOI:10.1155/2015/154915