半线上非线性薛定谔方程的作用角变量

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-07-09 DOI:arxiv-2407.06916

Baoqiang Xia

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引用次数: 0

摘要

我们考虑的是半线上的非线性薛定谔（NLS）方程，该方程需要在一类边界条件下保持模型的可整性。对于这样一个半线问题，我们计算了相应散射数据的泊松括号，并构造了作用角类型的变量。这些作用角变量完全琐化了半线上 NLS 方程的动力学。

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Action-angle variables for the nonlinear Schrödinger equation on the half-line

We consider the nonlinear Schr\"{o}dinger (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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arXiv - PHYS - Exactly Solvable and Integrable Systems

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