A Dressing Method in Mathematical Physics
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The work A Dressing Method in Mathematical Physics represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
A Dressing Method in Mathematical Physics
Resource Information
The work A Dressing Method in Mathematical Physics represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 A Dressing Method in Mathematical Physics
 Statement of responsibility
 by Evgeny V. Doktorov, Sergey B. Leble
 Language

 eng
 eng
 Summary
 The monograph is devoted to the systematic presentation of the so called "dressing method" for solving differential equations (both linear and nonlinear) of mathematical physics. The essence of the dressing method consists in a generation of new nontrivial solutions of a given equation from (maybe trivial) solution of the same or related equation. The Moutard and Darboux transformations discovered in XIX century as applied to linear equations, the Bäcklund transformation in differential geometry of surfaces, the factorization method, the RiemannHilbert problem in the form proposed by Shabat and Zakharov for soliton equations and its extension in terms of the dbar formalism comprise the main objects of the book. Throughout the text, a generally sufficient "linear experience" of readers is exploited, with a special attention to the algebraic aspects of the main mathematical constructions and to practical rules of obtaining new solutions. Various linear equations of classical and quantum mechanics are solved by the Darboux and factorization methods. An extension of the classical Darboux transformations to nonlinear equations in 1+1 and 2+1 dimensions, as well as its factorization are discussed in detail. The applicability of the local and nonlocal RiemannHilbert problembased approach and its generalization in terms of the dbar method are illustrated on various nonlinear equations
 Dewey number
 530.15
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 RsOrmdvNp48
 Z32Wy_84ycU
 Language note
 English
 LC call number

 QC350467
 QC630648
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Mathematical Physics Studies,
 Series volume
 28
Context
Context of A Dressing Method in Mathematical PhysicsWork of
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 A Dressing Method in Mathematical Physics, by Evgeny V. Doktorov, Sergey B. Leble, (electronic resource)
 A Dressing Method in Mathematical Physics, by Evgeny V. Doktorov, Sergey B. Leble, (electronic resource)
 A Dressing Method in Mathematical Physics, by Evgeny V. Doktorov, Sergey B. Leble, (electronic resource)
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