混合相对论和修正Toda晶格型系统：等价形式、N次Darboux变换和解析解

IF 2.8 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

The European Physical Journal Plus Pub Date : 2023-08-23 DOI:10.1140/epjp/s13360-023-04331-4

Yuan Shen, Bo Tian, Dan-Yu Yang, Tian-Yu Zhou

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引用次数: 1

摘要

晶格系统的研究由于其在相对论、光学、凝聚态物理和等离子体物理中的应用而引起了人们的兴趣。本文研究了一种混合相对论和修正Toda格型系统。该系统的等价形式是由某些变换提供的。基于该等价形式的Lax对，构造了一个N次Darboux矩阵，并推导了N次Darboux变换，其中N为正整数。利用相关的n次达布变换确定了一些解析解。

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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Hybrid relativistic and modified Toda lattice-type system: equivalent form, N-fold Darboux transformation and analytic solutions

Studies of the lattice systems are of current interest due to their applications in relativity, optics, condensed matter physics and plasma physics. In this paper, we look into a hybrid relativistic and modified Toda lattice-type system. An equivalent form of that system is provided by virtue of certain transformations. Based on the Lax pair of that equivalent form, we construct an N-fold Darboux matrix and then derive the N-fold Darboux transformation, where N is a positive integer. Some analytic solutions are determined with the help of the associated N-fold Darboux transformation.

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来源期刊

The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-

CiteScore

5.40

自引率

8.80%

发文量

1150

审稿时长

4-8 weeks

期刊介绍： The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.