{"title":"伽勒金截断系统中的孤波和相互作用长子","authors":"Jian-Zhou Zhu","doi":"arxiv-2407.20277","DOIUrl":null,"url":null,"abstract":"The compacton, peakon, and Burgers-Hopf equations regularized by the Galerkin\ntruncation preserving finite Fourier modes are found to support new travelling\nwaves and interacting solitonic structures amidst weaker less-ordered\ncomponents (`longons'). Different perspectives focusing on the zero-Hamiltonian\nsolitonic, chaotic-looking, and stationary longons are also offered.","PeriodicalId":501370,"journal":{"name":"arXiv - PHYS - Pattern Formation and Solitons","volume":"197 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solitary Waves and Interacting Longons in Galerkin-truncated Systems\",\"authors\":\"Jian-Zhou Zhu\",\"doi\":\"arxiv-2407.20277\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The compacton, peakon, and Burgers-Hopf equations regularized by the Galerkin\\ntruncation preserving finite Fourier modes are found to support new travelling\\nwaves and interacting solitonic structures amidst weaker less-ordered\\ncomponents (`longons'). Different perspectives focusing on the zero-Hamiltonian\\nsolitonic, chaotic-looking, and stationary longons are also offered.\",\"PeriodicalId\":501370,\"journal\":{\"name\":\"arXiv - PHYS - Pattern Formation and Solitons\",\"volume\":\"197 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Pattern Formation and Solitons\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.20277\",\"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 - Pattern Formation and Solitons","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.20277","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solitary Waves and Interacting Longons in Galerkin-truncated Systems
The compacton, peakon, and Burgers-Hopf equations regularized by the Galerkin
truncation preserving finite Fourier modes are found to support new travelling
waves and interacting solitonic structures amidst weaker less-ordered
components (`longons'). Different perspectives focusing on the zero-Hamiltonian
solitonic, chaotic-looking, and stationary longons are also offered.
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