扭转阿德勒-博本科-苏里斯网格表中 H1 a 方程的考奇矩阵方法

IF 2.4 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Communications in Theoretical Physics Pub Date : 2024-07-31 DOI:10.1088/1572-9494/ad5991

Jing Wang, Song-lin Zhao, Shoufeng Shen

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引用次数: 0

摘要

作为晶格势 Korteweg-de Vries 方程的扭转版本，H1a 是一个仅有一个间距参数的可积分非对称晶格方程。本文介绍了该方程的考奇矩阵方案。通过求解确定方程组，构建了孤子解、乔丹块解和孤子-乔丹块混合解。得到的所有解都具有在固定 n 的恒定值之间跳跃的特性，并表现出周期性结构。

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Cauchy matrix approach for H1 a equation in the torqued Adler–Bobenko–Suris lattice list

As a torqued version of the lattice potential Korteweg–de Vries equation, the H1^a is an integrable nonsymmetric lattice equation with only one spacing parameter. In this paper, we present the Cauchy matrix scheme for this equation. Soliton solutions, Jordan-block solutions and soliton-Jordan-block mixed solutions are constructed by solving the determining equation set. All the obtained solutions have jumping property between constant values for fixed n and demonstrate periodic structure.

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来源期刊

Communications in Theoretical Physics 物理-物理：综合

CiteScore

5.20

自引率

3.20%

发文量

6110

审稿时长

4.2 months

期刊介绍： Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of: mathematical physics quantum physics and quantum information particle physics and quantum field theory nuclear physics gravitation theory, astrophysics and cosmology atomic, molecular, optics (AMO) and plasma physics, chemical physics statistical physics, soft matter and biophysics condensed matter theory others Certain new interdisciplinary subjects are also incorporated.