{"title":"平方和和平方差特征函数的lax对算子","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":"{\"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}","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}
Lax-Pair Operators for Squared-Sum and Squared-Difference Eigenfunctions
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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