UID:
edocfu_9958353943202883
Format:
1 online resource(xiii,341p.) :
,
illustrations.
Edition:
Electronic reproduction. Berlin/Boston : De Gruyter, 2013. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9783110258615
Series Statement:
De Gruyter Studies in Mathematics; 47
Content:
This monograph fits theclearlyneed for books with a rigorous treatment of theinverse problems for non-classical systems and that of initial-boundary-value problems for integrable nonlinear equations. The authorsdevelop a unified treatment of explicit and global solutions via the transfer matrix function in a form due to Lev A. Sakhnovich. The book primarily addresses specialists in the field. However, it is self-contained andstarts with preliminaries and examples, and hencealso serves as an introduction for advanced graduate students in the field.
Note:
Frontmatter --
,
Preface --
,
Notation --
,
Contents --
,
0 Introduction --
,
1 Preliminaries --
,
2 Self-adjoint Dirac system: rectangular matrix potentials --
,
3 Skew-self-adjoint Dirac system: rectangular matrix potentials --
,
4 Linear system auxiliary to the nonlinear optics equation --
,
5 Discrete systems --
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6 Integrable nonlinear equations --
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7 General GBDT theorems and explicit solutions of nonlinear equations --
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8 Some further results on inverse problems and generalized Bäcklund-Darboux transformation (GBDT) --
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9 Sliding inverse problems for radial Dirac and Schrödinger equations --
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A General-type canonical system: pseudospectral and Weyl functions --
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B Mathematical system theory --
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C Krein’s system --
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D Operator identities corresponding to inverse problems --
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E Some basic theorems --
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Bibliography --
,
Index.
,
Also available in print edition.
,
In English.
Additional Edition:
ISBN 9783110258608
Additional Edition:
ISBN 9783112205006
Language:
English
DOI:
10.1515/9783110258615
URL:
https://doi.org/10.1515/9783110258615
