{"title":"函数差分 KdV 方程的多参数解法","authors":"Pierre Gaillard","doi":"10.1016/j.wavemoti.2024.103385","DOIUrl":null,"url":null,"abstract":"<div><p>Using a specific Darboux transformation, we construct solutions to the functional difference KdV equation in terms of Casorati determinants. We give a complete description of the method and the corresponding proofs. We construct explicitly some solutions for the first orders.</p></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multi-parametric solutions to the functional difference KdV equation\",\"authors\":\"Pierre Gaillard\",\"doi\":\"10.1016/j.wavemoti.2024.103385\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Using a specific Darboux transformation, we construct solutions to the functional difference KdV equation in terms of Casorati determinants. We give a complete description of the method and the corresponding proofs. We construct explicitly some solutions for the first orders.</p></div>\",\"PeriodicalId\":49367,\"journal\":{\"name\":\"Wave Motion\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2024-07-06\",\"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/S016521252400115X\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Wave Motion","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S016521252400115X","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}
Multi-parametric solutions to the functional difference KdV equation
Using a specific Darboux transformation, we construct solutions to the functional difference KdV equation in terms of Casorati determinants. We give a complete description of the method and the corresponding proofs. We construct explicitly some solutions for the first orders.
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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