A Dressing Method in Mathematical Physics
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 non-trivial solutions of a given equation fr...
Kaydedildi:
| Asıl Yazarlar: | , |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| Edisyon: | 1st ed. 2007. |
| Seri Bilgileri: | Mathematical Physics Studies
28 |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A dressing method in mathematical physics, by Evgeny V. Doktorov, ... and Sergey B. Leble, ..., Dordrecht, Springer, 2007, 1 vol. (XXIV-383 p.), Mathematical physics studies, 978-1-402-06138-7 • A Dressing Method in Mathematical Physics, Texte imprimé, 9789048113767 • A Dressing Method in Mathematical Physics, Texte imprimé, 9789048175482 • A dressing method in mathematical physics, by Evgeny V. Doktorov, ... and Sergey B. Leble, ..., Dordrecht, Springer, 2007, 1 vol. (XXIV-383 p.), Mathematical physics studies, 978-1-402-06138-7 |
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| 020 | |a 9781402061400 | ||
| 041 | 0 | |a eng | |
| 082 | |a 530.15 | ||
| 100 | 1 | |a Doktorov, Evgeny V., |d 19..- | |
| 245 | 1 | 0 | |a A Dressing Method in Mathematical Physics |c by Evgeny V. Doktorov, Sergey B. Leble. |
| 250 | |a 1st ed. 2007. | ||
| 260 | |a Dordrecht : |b Springer Netherlands. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Mathematical Physics Studies |v 28 |x 2352-3905 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 non-trivial 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 Riemann-Hilbert problem in the form proposed by Shabat and Zakharov for soliton equations and its extension in terms of the d-bar 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 non-local Riemann-Hilbert problem-based approach and its generalization in terms of the d-bar method are illustrated on various nonlinear equations | ||
| 700 | 1 | |a Leble, Sergey B., |d 19..- |4 aut | |
| 776 | 0 | |0 11917703X |t A dressing method in mathematical physics |f by Evgeny V. Doktorov, ... and Sergey B. Leble, ... |c Dordrecht |n Springer |d 2007 |p 1 vol. (XXIV-383 p.) |s Mathematical physics studies |z 978-1-402-06138-7 | |
| 776 | 0 | |t A Dressing Method in Mathematical Physics |b Texte imprimé |z 9789048113767 | |
| 776 | 0 | |t A Dressing Method in Mathematical Physics |b Texte imprimé |z 9789048175482 | |
| 776 | 0 | |0 11917703X |t A dressing method in mathematical physics |f by Evgeny V. Doktorov, ... and Sergey B. Leble, ... |c Dordrecht |n Springer |d 2007 |p 1 vol. (XXIV-383 p.) |s Mathematical physics studies |z 978-1-402-06138-7 | |
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