Abstract
Integrable coupling system of a lattice soliton equation hierarchy is deduced. The Hamiltonian structure of the integrable coupling is constructed by using the discrete quadratic-form identity. The Liouville integrability of the integrable coupling is demonstrated. Finally, the discrete integrable coupling system with self-consistent sources is deduced.
Highlights
Many physical problems may be modeled by soliton equation
The Hamiltonian structure of the integrable coupling is constructed by using the discrete quadratic-form identity
The Hamiltonian structures of many systems have been obtained by the famous trace identity [1,2,3,4,5,6]
Summary
Many physical problems may be modeled by soliton equation. The Hamiltonian structures of many systems have been obtained by the famous trace identity [1,2,3,4,5,6]. Integrable coupling system of a lattice soliton equation hierarchy is deduced. The Hamiltonian structure of the integrable coupling is constructed by using the discrete quadratic-form identity. The discrete integrable coupling system with self-consistent sources is deduced.
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