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

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

引用次数: 1

Abstract

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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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

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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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

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