{"title":"On the nonlocal matrix Hirota equation with complex parity symmetry: Integrability, Darboux transformation and exact solutions","authors":"Tong Zhou","doi":"10.1016/j.wavemoti.2025.103531","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103531"},"PeriodicalIF":2.5000,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Wave Motion","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165212525000423","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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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