{"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}
引用次数: 0
Abstract
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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