与 Kac-Moody 代数 A2(1) 有关的新型衍生非线性薛定谔方程

Dynamics Pub Date : 2024-01-18 DOI:10.3390/dynamics4010005

A. A. Stefanov

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引用次数: 0

摘要

我们导出了一个新的可积分导数非线性薛定谔方程系统，该系统包含一个 L 算子，其系数属于 Kac-Moody 代数 A2(1)的谱参数二次方。概述了 L 基本解析解的构造，并用它们引入散射数据，从而提出了 Lax 对 L,M 的散射问题。

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New Types of Derivative Non-linear Schrödinger Equations Related to Kac–Moody Algebra A2(1)

We derive a new system of integrable derivative non-linear Schrödinger equations with an L operator, quadratic in the spectral parameter with coefficients belonging to the Kac–Moody algebra A2(1). The construction of the fundamental analytic solutions of L is outlined and they are used to introduce the scattering data, thus formulating the scattering problem for the Lax pair L,M.

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来源期刊

Dynamics

CiteScore

1.20

自引率

0.00%

发文量