具有双哈密顿公式的四分量组合可积分方程

IF 1.8 4区物理与天体物理 Q3 PHYSICS, APPLIED

Modern Physics Letters B Pub Date : 2024-03-27 DOI:10.1142/s0217984924503196

Wen-Xiu Ma

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引用次数: 0

摘要

本文旨在通过引入一个包含四个组成部分的特定矩阵特征值问题，生成一个 Liouville 可积分哈密顿层次结构。采用的方法是零曲率公式。通过应用迹特征，本文提出了一种双哈密顿形式，这显示了所产生的层次结构的Liouville可积分性。此外，还介绍了两个广义组合非线性薛定谔方程和修正的 Korteweg-de Vries 方程的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Four-component combined integrable equations possessing bi-Hamiltonian formulations

This paper aims to generate a Liouville integrable Hamiltonian hierarchy by introducing a specific matrix eigenvalue problem with four components. The adopted approach is the zero curvature formulation. A bi-Hamiltonian formulation is furnished through applying the trace identity, which shows the Liouville integrability of the resulting hierarchy. Two examples of generalized combined nonlinear Schrödinger equations and modified Korteweg–de Vries equations are presented.

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来源期刊

Modern Physics Letters B 物理-物理：凝聚态物理

CiteScore

3.70

自引率

10.50%

发文量

235

审稿时长

5.9 months

期刊介绍： MPLB opens a channel for the fast circulation of important and useful research findings in Condensed Matter Physics, Statistical Physics, as well as Atomic, Molecular and Optical Physics. A strong emphasis is placed on topics of current interest, such as cold atoms and molecules, new topological materials and phases, and novel low-dimensional materials. The journal also contains a Brief Reviews section with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.