复宇称对称的非局部矩阵Hirota方程：可积性、Darboux变换和精确解

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2025-03-03 DOI:10.1016/j.wavemoti.2025.103531

Tong Zhou

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引用次数: 0

摘要

本文从具有矩阵势函数的akns型谱问题中引入了复宇称对称的非局部矩阵Hirota方程及其对应的Lax对，并在无穷多守恒律意义下证实了其可积性。对于该非局部矩阵可积方程，构造了相关谱问题的Darboux变换，研究了采用不同种子解组和谱参数的几种矩阵精确解，并研究了这些精确解的动力学性质。

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On the nonlocal matrix Hirota equation with complex parity symmetry: Integrability, Darboux transformation and exact solutions

In this work, a nonlocal matrix Hirota equation with complex parity symmetry and its corresponding Lax pair are introduced from AKNS-type spectral problem with matrix potential functions, and the integrability in the sense of infinitely many conservation laws is confirmed. For this nonlocal matrix integrable equation, the author constructs the Darboux transformation of related spectral problem, studies several types of matrix exact solutions by taking different groups of seed solutions and spectral parameters, and investigates the dynamical properties of these exact solutions.

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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.