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Instructive history of the quantum inverse scattering method 量子逆散射法的指导历史
Acta Applicandae Mathematica Pub Date : 1995-06-01 DOI: 10.1007/978-94-011-4542-8_8
L. Faddeev
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引用次数: 31
Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions 汉堡包的矩问题，可积系统的层次，和tau函数的正性
Acta Applicandae Mathematica Pub Date : 1995-06-01 DOI: 10.1007/978-94-011-0017-5_24
Yoshimasa Nakamura, Y. Kodama
{"title":"Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions","authors":"Yoshimasa Nakamura, Y. Kodama","doi":"10.1007/978-94-011-0017-5_24","DOIUrl":"https://doi.org/10.1007/978-94-011-0017-5_24","url":null,"abstract":"","PeriodicalId":229215,"journal":{"name":"Acta Applicandae Mathematica","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129187034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
Integrability, computation and applications 可积性、计算及应用
Acta Applicandae Mathematica Pub Date : 1995-06-01 DOI: 10.1007/978-94-011-0017-5_1
M. Ablowitz, S. Chakravarty, B. Herbst
{"title":"Integrability, computation and applications","authors":"M. Ablowitz, S. Chakravarty, B. Herbst","doi":"10.1007/978-94-011-0017-5_1","DOIUrl":"https://doi.org/10.1007/978-94-011-0017-5_1","url":null,"abstract":"","PeriodicalId":229215,"journal":{"name":"Acta Applicandae Mathematica","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131391442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
An ODE to a PDE: Glories of the KdV equation. An appreciation of the equation on its 100th birthday! PDE的ODE: KdV方程的荣耀。在等式诞生100周年之际对它的欣赏!
Acta Applicandae Mathematica Pub Date : 1995-06-01 DOI: 10.1007/978-94-011-0017-5_7
M. Kruskal
{"title":"An ODE to a PDE: Glories of the KdV equation. An appreciation of the equation on its 100th birthday!","authors":"M. Kruskal","doi":"10.1007/978-94-011-0017-5_7","DOIUrl":"https://doi.org/10.1007/978-94-011-0017-5_7","url":null,"abstract":"","PeriodicalId":229215,"journal":{"name":"Acta Applicandae Mathematica","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134370542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Solitons of curvature 曲率孤子
Acta Applicandae Mathematica Pub Date : 1995-06-01 DOI: 10.1007/978-94-011-0017-5_21
B. Konopelchenko
{"title":"Solitons of curvature","authors":"B. Konopelchenko","doi":"10.1007/978-94-011-0017-5_21","DOIUrl":"https://doi.org/10.1007/978-94-011-0017-5_21","url":null,"abstract":"","PeriodicalId":229215,"journal":{"name":"Acta Applicandae Mathematica","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116803047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Lightlike submanifolds of semi-Riemannian manifolds 半黎曼流形的类光子流形
Acta Applicandae Mathematica Pub Date : 1995-02-01 DOI: 10.1007/978-94-017-2089-2_5
A. Bejancu, K. L. Duggal
{"title":"Lightlike submanifolds of semi-Riemannian manifolds","authors":"A. Bejancu, K. L. Duggal","doi":"10.1007/978-94-017-2089-2_5","DOIUrl":"https://doi.org/10.1007/978-94-017-2089-2_5","url":null,"abstract":"","PeriodicalId":229215,"journal":{"name":"Acta Applicandae Mathematica","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128621898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 55
Super toda lattices 超级今天格
Acta Applicandae Mathematica Pub Date : 1994-03-01 DOI: 10.1063/1.530586
E. Lende, H. Pijls
{"title":"Super toda lattices","authors":"E. Lende, H. Pijls","doi":"10.1063/1.530586","DOIUrl":"https://doi.org/10.1063/1.530586","url":null,"abstract":"The Lax formalism, as described by Oevel et al. and in an earlier and more fundamental form by Semenov, Kostant, Symes, and Adler, can easily be generalized to the case where anticommuting variables are involved, the so‐called supercase. In this article this super‐Lax formalism is applied to the well‐known associative superalgebra G=Mat(m,n,Λ). Subspaces of G to which the super‐Poisson structures can be restricted arise in a natural way. Taking L in one of these subspaces formally leads to superextensions of the hierarchy of nonrelativistic Toda lattices. In the simplest case, where only nearest‐neighbor interaction is involved, the equations are explicitly solved. Furthermore, the relevant two super‐Hamiltonian structures are explicitly calculated. Finally a superextension of the relativistic Toda lattice with a super‐Hamiltonian structure is described herein.","PeriodicalId":229215,"journal":{"name":"Acta Applicandae Mathematica","volume":"15 7","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1994-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133616267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Stability estimates in inverse scattering 逆散射稳定性估计
Acta Applicandae Mathematica Pub Date : 1992-07-01 DOI: 10.1007/3-540-57576-6_28
A. Ramm
{"title":"Stability estimates in inverse scattering","authors":"A. Ramm","doi":"10.1007/3-540-57576-6_28","DOIUrl":"https://doi.org/10.1007/3-540-57576-6_28","url":null,"abstract":"","PeriodicalId":229215,"journal":{"name":"Acta Applicandae Mathematica","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116939976","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 56
Some aspects of the spectral theory of positive operators 正算子谱理论的几个方面
Acta Applicandae Mathematica Pub Date : 1992-05-01 DOI: 10.1007/978-94-017-2721-1_14
Xiaodong Zhang
{"title":"Some aspects of the spectral theory of positive operators","authors":"Xiaodong Zhang","doi":"10.1007/978-94-017-2721-1_14","DOIUrl":"https://doi.org/10.1007/978-94-017-2721-1_14","url":null,"abstract":"","PeriodicalId":229215,"journal":{"name":"Acta Applicandae Mathematica","volume":"103 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123726079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 11
Positive operators on Krein spaces Krein空间上的正算子
Acta Applicandae Mathematica Pub Date : 1992-05-01 DOI: 10.1007/978-94-017-2721-1_1
Y. Abramovich, C. Aliprantis, O. Burkinshaw
{"title":"Positive operators on Krein spaces","authors":"Y. Abramovich, C. Aliprantis, O. Burkinshaw","doi":"10.1007/978-94-017-2721-1_1","DOIUrl":"https://doi.org/10.1007/978-94-017-2721-1_1","url":null,"abstract":"","PeriodicalId":229215,"journal":{"name":"Acta Applicandae Mathematica","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125774929","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 22
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