AKNS Type Reduced Integrable Hierarchies with Hamiltonian Formulations

IF 1.2 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Romanian Journal of Physics Pub Date : 2023-12-15 DOI:10.59277/romjphys.2023.68.116
Wen-Xiu Ma
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引用次数: 0

Abstract

"The aim of this paper is to generate a kind of integrable hierarchies of four-component evolution equations with Hamiltonian structures, from a kind of reduced Ablowitz-Kaup-Newell-Segur (AKNS) matrix spectral problems. The zero curvature formulation is the basic tool and the trace identity is the key to establishing Hamiltonian structures. Two examples of Hamiltonian equations in the resulting inte- grable hierarchies are added to the category of coupled integrable nonlinear Schr¨odinger equations and coupled integable modified Korteweg-de Vries equations."
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含哈密顿公式的 AKNS 型还原积分层次结构
"本文旨在从一种还原的阿布罗维茨-考普-纽维尔-塞古尔(AKNS)矩阵谱问题出发,生成一种具有哈密顿结构的四分量演化方程的可积分层次。零曲率公式是基本工具,而迹同性是建立哈密顿结构的关键。由此产生的可积分层次中的两个哈密顿方程实例被添加到耦合可积分非线性 Schr¨odinger 方程和耦合可积分修正 Korteweg-de Vries 方程类别中"。
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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来源期刊
Romanian Journal of Physics
Romanian Journal of Physics 物理-物理:综合
CiteScore
2.30
自引率
26.70%
发文量
0
审稿时长
4-8 weeks
期刊介绍: Romanian Journal of Physics was first published in 1992 as a continuation of the former Revue Roumaine de Physique (ISSN: 0035-4090), a journal publishing physics and engineering scientific papers established 1956 with deep roots in the early history of the modern Romanian physics. Romanian Journal of Physics is a journal of the Romanian Academy published by Editura Academiei Romane (eA). The journal has an international character intended for the publication of original physics contributions from various sub-fields including the following: -Theoretical Physics & Applied Mathematics -Nuclear Physics -Solid State Physics & Materials Science -Statistical Physics & Quantum Mechanics -Optics -Spectroscopy -Plasma & Laser Physics -(High Energy) Elementary Particles Physics -Atomic and Molecular Physics -Astrophysics -Atmosphere (Environmental) & Earth Science -Environmental Protection
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