The massive Thirring model in Bragg grating: Soliton molecules, breather-positon and semirational solutions

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2025-01-29 DOI:10.1016/j.wavemoti.2025.103503

Tao Xu , Zhijun Qiao

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引用次数: 0

Abstract

The massive Thirring model, which describes pulse propagation in Bragg grating, is systematically investigated through Darboux transformation. Based on the Darboux transformation, we study soliton molecules, breather-positons, and semirational solutions for the massive Thirring model in this paper. What we present includes the following main results: (1) the general multiple soliton molecules (SMs) interaction, namely,

M

SMs interact with

(N - M)

solitons (

0 \leq M \leq N

); (2) higher-order breather-positon solutions whose center region exhibit rogue waves’ patterns; and (3) semirational solutions with arbitrary

M

th-order rogue waves and

(N - M)

-breathers. Finally, the generating mechanisms and related dynamics of those obtained nonlinear localized waves are discussed in details.

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Bragg光栅中的大质量Thirring模型：孤子分子、呼吸位置和半粒子解

通过达布变换，系统地研究了描述脉冲在布拉格光栅中传播的大质量Thirring模型。本文基于Darboux变换，研究了大质量Thirring模型的孤子分子、呼吸位置和半粒子解。我们给出了以下主要结果：(1)一般多孤子分子（SMs）相互作用，即M个SMs与（N−M）个孤子（0≤M≤N）相互作用；(2)高阶呼吸位置解，其中心区域呈现异常波型；(3)具有任意M阶异常波和（N−M）呼吸波的半数值解。最后，详细讨论了得到的非线性局域波的产生机理和相关动力学。

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

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.