Overview

"This monograph systematically develops and considers the so-called ""dressing method"" for solving differential equations (both linear and nonlinear), a means to generate new non-trivial solutions for a given equation from the (perhaps trivial) solution of the same or related equation. Throughout, the text exploits the ""linear experience"" of presentation, with special attention given to the algebraic aspects of the main mathematical constructions and to practical rules of obtaining new solutions."

Full Product Details

Author:   Evgeny V. Doktorov ,  Sergey B. Leble
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2007 ed.
Volume:   28
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.781kg
ISBN:  

9781402061387

ISBN 10:   1402061382
Pages:   383
Publication Date:   30 May 2007
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Mathematical preliminaries.- Factorization and classical Darboux transformations.- From elementary to twofold elementary Darboux transformation.- Dressing chain equations.- Dressing in 2+1 dimensions.- Applications of dressing to linear problems.- Important links.- Dressing via local Riemann–Hilbert problem.- Dressing via nonlocal Riemann–Hilbert problem.- Generating solutions via ? problem.

Reviews

From the reviews: <p> This book is a collection of the work of the two authors over many years. a ] The authors connect nicely the newest contributions and the 150 years of history of Darboux transformations and solvable potentials of the linear SchrAdinger equation. a ] The book can be recommended to graduate students a ] . (Dmitry E. Pelinovsky, Mathematical Reviews, Issue 2008 k)

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