Action-angle variables for the nonlinear Schr\"odinger equation on the half-line
Abstract
We consider the nonlinear Schr\"odinger (NLS) equation on the half-line subjecting to a class of boundary conditions preserve the integrability of the model. For such a half-line problem, the Poisson brackets of the corresponding scattering data are computed, and the variables of action-angle type are constructed. These action-angle variables completely trivialize the dynamics of the NLS equation on the half-line.
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