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A Dressing Method in Mathematical Physics by Evgeny V. Doktorov 9781402061387
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A Dressing Method in Mathematical Physics by Evgeny V. Doktorov 9781402061387

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Description

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

"The term 'dressing' generally implies a construction that contains a transformation from a simpler state to a more advanced state of a system. ... It provides new insight into this significant research area of great importance. ... The book can be of very great use to graduate students and professional mathematicians and physicists. ... It provides a good introduction to the dressing method, and it is definitely a good job." (Ma Wen-Xiu, Zentralblatt MATH, Vol. 1142, 2008)





Book Information
ISBN 9781402061387
Author Evgeny V. Doktorov
Format Hardback
Page Count 383
Imprint Springer-Verlag New York Inc.
Publisher Springer-Verlag New York Inc.

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