Matrix extension of the Kuralay-II Equation and its associated Darboux transformation

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2025-09-26 DOI:10.1016/j.wavemoti.2025.103644

Wen-Xiu Ma

引用次数: 0

Abstract

Starting from the matrix AKNS spectral problem, we construct a Lax pair featuring a first-order non-zero pole in the spectral parameter and derive a matrix generalization of the Kuralay-II equation. The associated Darboux transformation is developed within the AKNS framework. By applying this transformation to a non-zero seed solution, we obtain a class of exact and explicit solutions.

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Kuralay-II方程的矩阵扩展及其相关的达布变换

从矩阵AKNS谱问题出发，构造了一个谱参数具有一阶非零极点的Lax对，并对Kuralay-II方程进行了矩阵推广。相关的达布变换是在AKNS框架内开发的。将此变换应用于非零种子解，得到了一类精确显式解。

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

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.