{"title":"Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations","authors":"Marianna Euler, Norbert Euler","doi":"arxiv-2403.05722","DOIUrl":null,"url":null,"abstract":"We consider here the class of fully-nonlinear symmetry-integrable third-order\nevolution equations in 1+1 dimensions that were proposed recently in {\\it Open\nCommunications in Nonlinear Mathematical Physics}, vol. 2, 216--228 (2022). In\nparticular, we report all zero-order and higher-order potentialisations for\nthis class of equations using their integrating factors (or multipliers) up to\norder four. Chains of connecting evolution equations are also obtained by\nmulti-potentialisations.","PeriodicalId":501592,"journal":{"name":"arXiv - PHYS - Exactly Solvable and Integrable Systems","volume":"23 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-08","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-2403.05722","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
We consider here the class of fully-nonlinear symmetry-integrable third-order
evolution equations in 1+1 dimensions that were proposed recently in {\it Open
Communications in Nonlinear Mathematical Physics}, vol. 2, 216--228 (2022). In
particular, we report all zero-order and higher-order potentialisations for
this class of equations using their integrating factors (or multipliers) up to
order four. Chains of connecting evolution equations are also obtained by
multi-potentialisations.
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