Quasideterminant solutions for the Wadati–Konno–Ichikawa equation

IF 2.5 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2025-07-19 DOI:10.1016/j.wavemoti.2025.103605

Halis Yilmaz

引用次数: 0

Abstract

We employ a modified Darboux transformation to derive quasideterminant solutions for the modified Wadati–Konno–Ichikawa (mWKI) equation, an equivalent form of the WKI equation. As particular examples, we present multi-soliton solutions for both the focusing and defocusing cases using a zero seed solution. Additionally, we derive breather and rogue wave solutions of the mWKI equation starting from a non-zero seed solution.

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Wadati-Konno-Ichikawa方程的拟行列式解

我们利用一个修正的Darboux变换，导出了WKI方程的等价形式——修正wadati - kono - ichikawa （mWKI）方程的拟行列式解。作为特殊的例子，我们给出了使用零种子解的聚焦和散焦情况下的多孤子解。此外，我们从非零种子解出发，导出了mWKI方程的呼吸波解和突变波解。

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.