{"title":"BC \\(_r\\)：减少修改KP层次结构","authors":"Haiyan Kang, Shen Wang, Jipeng Cheng","doi":"10.1007/s13324-025-01052-y","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, one class of reductions of modified KP hierarchy is introduced, which is called the BC<span>\\(_r\\)</span>–modified KP hierarchy <span>\\((r\\ge 0)\\)</span> here, since it contains modified BKP and modified CKP hierarchies as special cases. For BC<span>\\(_r\\)</span>–modified KP hierarchy, we discuss Lax equations and bilinear descriptions, where the corresponding equivalence is also investigated.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.6000,"publicationDate":"2025-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"BC\\\\(_r\\\\): reductions of modified KP hierarchy\",\"authors\":\"Haiyan Kang, Shen Wang, Jipeng Cheng\",\"doi\":\"10.1007/s13324-025-01052-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, one class of reductions of modified KP hierarchy is introduced, which is called the BC<span>\\\\(_r\\\\)</span>–modified KP hierarchy <span>\\\\((r\\\\ge 0)\\\\)</span> here, since it contains modified BKP and modified CKP hierarchies as special cases. For BC<span>\\\\(_r\\\\)</span>–modified KP hierarchy, we discuss Lax equations and bilinear descriptions, where the corresponding equivalence is also investigated.</p></div>\",\"PeriodicalId\":48860,\"journal\":{\"name\":\"Analysis and Mathematical Physics\",\"volume\":\"15 3\",\"pages\":\"\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2025-04-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis and Mathematical Physics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13324-025-01052-y\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis and Mathematical Physics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s13324-025-01052-y","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this paper, one class of reductions of modified KP hierarchy is introduced, which is called the BC\(_r\)–modified KP hierarchy \((r\ge 0)\) here, since it contains modified BKP and modified CKP hierarchies as special cases. For BC\(_r\)–modified KP hierarchy, we discuss Lax equations and bilinear descriptions, where the corresponding equivalence is also investigated.
期刊介绍：
Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.
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