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Constructing integrable couplings for the C-KdV hierarchy. (English) Zbl 1154.37365

By using the variational identity, the Hamiltonian structures of the C-KdV hierarchy, integrable couplings of C-KdV hierarchy, \((2+1)\)-dimensional C-KdV hierarchy as well as the multi-component integrable system are obtained.

MSC:

37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
35Q53 KdV equations (Korteweg-de Vries equations)
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