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On New Hamiltonian Structures of Two Integrable Couplings
oleh: Yu Liu, Jin Liu, Da-jun Zhang
Format: | Article |
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Diterbitkan: | MDPI AG 2022-10-01 |
Deskripsi
In this paper, we present new Hamiltonian operators for the integrable couplings of the Ablowitz–Kaup–Newell–Segur hierarchy and the Kaup–Newell hierarchy. The corresponding Hamiltonians allow nontrivial degeneration. Multi-Hamiltonian structures are investigated. The involutive property is proven for the new and known Hamiltonians with respect to the two Poisson brackets defined by the new and known Hamiltonian operators.