{"title":"BKP 方程中孤子的完全非负普法因子","authors":"Jen Hsu Chang","doi":"arxiv-2409.00711","DOIUrl":null,"url":null,"abstract":"The BKP equation is obtained from the reduction of B type in the KP hierarchy\nunder the orthogonal type transformation group for the KP equation. The skew\nSchur Q functions can be used to construct the Tau functions of solitons in the\nBKP equation. Then the totally nonnegative Pfaffian can be defined via the skew\nSchur Q functions to obtain nonsingular line solitons solution in the BKP\nequation. The totally nonnegative Pfaffians are investigated. The line solitons\ninteract to form web like structure in the near field region and their\nresonances appearing in soliton graph could be investigated by the totally\nnonnegative Pfaffians.","PeriodicalId":501592,"journal":{"name":"arXiv - PHYS - Exactly Solvable and Integrable Systems","volume":"164 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Totally Nonnegative Pfaffian for Solitons in BKP Equation\",\"authors\":\"Jen Hsu Chang\",\"doi\":\"arxiv-2409.00711\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The BKP equation is obtained from the reduction of B type in the KP hierarchy\\nunder the orthogonal type transformation group for the KP equation. The skew\\nSchur Q functions can be used to construct the Tau functions of solitons in the\\nBKP equation. Then the totally nonnegative Pfaffian can be defined via the skew\\nSchur Q functions to obtain nonsingular line solitons solution in the BKP\\nequation. The totally nonnegative Pfaffians are investigated. The line solitons\\ninteract to form web like structure in the near field region and their\\nresonances appearing in soliton graph could be investigated by the totally\\nnonnegative Pfaffians.\",\"PeriodicalId\":501592,\"journal\":{\"name\":\"arXiv - PHYS - Exactly Solvable and Integrable Systems\",\"volume\":\"164 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Exactly Solvable and Integrable Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.00711\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Exactly Solvable and Integrable Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.00711","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Totally Nonnegative Pfaffian for Solitons in BKP Equation
The BKP equation is obtained from the reduction of B type in the KP hierarchy
under the orthogonal type transformation group for the KP equation. The skew
Schur Q functions can be used to construct the Tau functions of solitons in the
BKP equation. Then the totally nonnegative Pfaffian can be defined via the skew
Schur Q functions to obtain nonsingular line solitons solution in the BKP
equation. The totally nonnegative Pfaffians are investigated. The line solitons
interact to form web like structure in the near field region and their
resonances appearing in soliton graph could be investigated by the totally
nonnegative Pfaffians.
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