具有新可积边界的经典非线性薛定谔模型
The classical nonlinear Schrödinger model with a new integrable boundary
摘要：
通过对经典非线性薛定谔模型的边界进行缺陷修饰，得到了一个新的可积边界。通过推导边界${\cal K}$矩阵，并利用经典的$r$ -矩阵证明了新边界的可积性.还讨论了守恒电荷的问题。证明新边界的可积性的关键是使用适当的修改泊松括号。最后，关于本文中使用的缺陷类型，本研究提供了一个机会来证明-毫无疑问-它们的可积性。
英文摘要：
A new integrable boundary for the classical nonlinear Schrödinger model is derived by dressing a boundary with a defect. A complete investigation of the integrability of the new boundary is carried out in the sense that the boundary ${\cal K}$ matrix is derived and the integrability is proved via the classical $r$-matrix. The issue of conserved charges is also discussed. The key point in proving the integrability of the new boundary is the use of suitable modified Poisson brackets. Finally, concerning the kind of defect used in the present context, this investigation offers the opportunity to prove - beyond any doubts - their integrability.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
