{"title":"Lax-Pair Operators for Squared-Sum and Squared-Difference Eigenfunctions","authors":"Y. Ichikawa, Kazu-hiro Iino","doi":"10.1063/1.526866","DOIUrl":null,"url":null,"abstract":"An interrelationship between various representations of the inverse scattering transformation is established by examining eigenfunctions of Lax‐pair operators of the sine–Gordon equation and the modified Korteweg–de Vries equation. In particular, it is shown explicitly that there exist Lax‐pair operators for the squared‐sum and squared‐difference eigenfunctions of the Ablowitz–Kaup–Newell–Segur inverse scattering transformation.","PeriodicalId":22276,"journal":{"name":"The annual research report","volume":"25 1","pages":"1-10"},"PeriodicalIF":0.0000,"publicationDate":"1984-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The annual research report","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.526866","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
An interrelationship between various representations of the inverse scattering transformation is established by examining eigenfunctions of Lax‐pair operators of the sine–Gordon equation and the modified Korteweg–de Vries equation. In particular, it is shown explicitly that there exist Lax‐pair operators for the squared‐sum and squared‐difference eigenfunctions of the Ablowitz–Kaup–Newell–Segur inverse scattering transformation.
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