(2+1)维Calogero-Degasperis系统周期背景上的流氓波

IF 2.5 3区 物理与天体物理 Q2 ACOUSTICS
Liru Wang, Zhaqilao
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引用次数: 0

摘要

本文研究了周期背景下(2+1)维Calogero-Degasperis系统异常波解的构造。结合雅可比椭圆函数展开法、Darboux变换技术和Lax对的非线性化,成功地导出了雅可比椭圆函数dn和cn背景下的精确异常波解。我们的分析揭示了系统中三个势函数之间的重要关系,并展示了高维非线性环境下异常波与周期结构相互作用的独特动力学特征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Rogue waves on the periodic background in the (2+1)-dimensional Calogero–Degasperis system
In this paper, we investigate the construction of rogue wave solutions for the (2+1)-dimensional Calogero-Degasperis system on periodic backgrounds. By combining the Jacobian elliptic function expansion method, Darboux transformation techniques, and nonlinearization of the Lax pair, we successfully derive exact rogue wave solutions on the Jacobian elliptic function dn and cn backgrounds. Our analysis reveals important relationships among the three potential functions in the system and demonstrates unique dynamic features of interactions between rogue waves and periodic structures in high-dimensional nonlinear settings.
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来源期刊
Wave Motion
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.
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