论文标题
非线性schrödinger型四面体图
Nonlinear Schrödinger type tetrahedron maps
论文作者
论文摘要
本文涉及建造新溶液，该溶液在功能性四面体方程和参数四面体方程方面构建了新溶液。我们提出了一种通过darboux变换来构建参数四面体方程的解决方案的方法。特别是，我们研究了与非线性schrödinger（NLS）和衍生性非线性schrödinger（DNLS）方程相关的Darboux转换的基质重构问题，我们构建了新型的九维四面体图。我们表明，后者可以仅限于不变叶上的六维参数四面体图。最后，我们使用NLS和DNLS类型的Denerated Darboux变换构建参数四面体图。
This paper is concerned with the construction of new solutions in terms of birational maps to the functional tetrahedron equation and parametric tetrahedron equation. We present a method for constructing solutions to the parametric tetrahedron equation via Darboux transformations. In particular, we study matrix refactorisation problems for Darboux transformations associated with the nonlinear Schrödinger (NLS) and the derivative nonlinear Schrödinger (DNLS) equation, and we construct novel nine-dimensional tetrahedron maps. We show that the latter can be restricted to six-dimensional parametric tetrahedron maps on invariant leaves. Finally, we construct parametric tetrahedron maps employing degenerated Darboux transformations of NLS and DNLS type.
