{"title":"三维欧拉--赫姆霍兹方程的涣散表示法","authors":"Oleg I. Morozov","doi":"arxiv-2409.05752","DOIUrl":null,"url":null,"abstract":"The paper is concerned with Lax representations for the three-dimensional\nEuler--Helmholtz equation. We show that the parameter in the Lax representation\nfrom Theorem 3 in [15] is non-removable. Then we present two new Lax\nrepresentations with non-removable parameters.","PeriodicalId":501592,"journal":{"name":"arXiv - PHYS - Exactly Solvable and Integrable Systems","volume":"54 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lax representations for the three-dimensional Euler--Helmholtz equation\",\"authors\":\"Oleg I. Morozov\",\"doi\":\"arxiv-2409.05752\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper is concerned with Lax representations for the three-dimensional\\nEuler--Helmholtz equation. We show that the parameter in the Lax representation\\nfrom Theorem 3 in [15] is non-removable. Then we present two new Lax\\nrepresentations with non-removable parameters.\",\"PeriodicalId\":501592,\"journal\":{\"name\":\"arXiv - PHYS - Exactly Solvable and Integrable Systems\",\"volume\":\"54 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-09\",\"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-2409.05752\",\"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-2409.05752","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Lax representations for the three-dimensional Euler--Helmholtz equation
The paper is concerned with Lax representations for the three-dimensional
Euler--Helmholtz equation. We show that the parameter in the Lax representation
from Theorem 3 in [15] is non-removable. Then we present two new Lax
representations with non-removable parameters.
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