论文标题

打扮非线性Schrödinger方程的新的可集成边界

Dressing a new integrable boundary of the nonlinear Schrödinger equation

论文作者

Gruner, K. T.

论文摘要

我们进一步开发了为半线上的聚焦非线性schrödinger方程(NLS)打扮的方法,以包括Zambon提出的新边界条件。此外,通过明确计算Darboux转换下的散射数据的变化,将解决方案与镜像技术产生的解决方案进行比较的基础。特别是,开发的方法用于插入纯孤子溶液。

We further develop the method of dressing the boundary for the focusing nonlinear Schrödinger equation (NLS) on the half-line to include the new boundary condition presented by Zambon. Additionally, the foundation to compare the solutions to the ones produced by the mirror-image technique is laid by explicitly computing the change of scattering data under the Darboux transformation. In particular, the developed method is applied to insert pure soliton solutions.

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