The general solutions to the reflection equation of the Izergin-Korepin model

We obtain the general solutions to the reflection equation of the Izergin-Korepin model. The general solutions have two free parameters and will reduce to the non-trivial diagonal solutions when both free parameters vanish. It will also reduce to the solutions with upper-lower triangular structures when one of the parameters vanishes. Moreover, the Hamiltonian with boundary terms for the system is obtained.

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