Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory
- of nonlinear the of solitons the the last 30 theory partial theory During years - has into solutions of a kind a differential special equations (PDEs) possessing grown and in view the attention of both mathematicians field that attracts physicists large and of the of the problems of its novelty pr...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colecção: | Lecture notes in mathematics
1756 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Korteweg-de Vries and nonlinear Schrödinger equations, qualitative theory, Peter E. Zhidkov, 2001, Berlin, Springer, 1 vol. (146 p.), Lecture notes in mathematics, 978-3-540-41833-7 • Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory, Texte imprimé, 9783662161739 |
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| 020 | |a 9783540452768 (PDF) | ||
| 041 | 0 | |a eng | |
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| 100 | 1 | |a Zhidkov, Peter E., |d 1956- | |
| 245 | 1 | 0 | |a Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory |c Peter E. Zhidkov. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1756 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Introduction -- Notation -- Evolutionary equations. Results on existance: The (generalized Korteweg-de Vries equation (KdVE); The nonlinear Schrödinger equation (NLSE); On the blowing up of solutions; Additional remarks -- Stationary problems: Existence of solutions. An ODE approach; Existence of solutions. A variational method; The concentration-compactness method of P.L. Lions; On basis properties of systems of solutions; Additional remarks -- Stability of solutions: Stability of soliton-like solutions; Stability of kinks for the KdVE; Stability of solutions of the NLSE nonvanishing as (x) to infinity; Additional remarks -- Invariant measures: On Gaussian measures in Hilbert spaces; An invariant measure for the NLSE; An infinite series of invariant measures for the KdVE; Additional remarks -- Bibliography -- Index. | |
| 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 - of nonlinear the of solitons the the last 30 theory partial theory During years - has into solutions of a kind a differential special equations (PDEs) possessing grown and in view the attention of both mathematicians field that attracts physicists large and of the of the problems of its novelty problems. Physical important applications for in the under consideration are mo- to the observed, example, equations leading mathematical discoveries is the Makhankov One of the related V.G. by [60]. graph from this field methods that of certain nonlinear by equations possibility studying inverse these to the problem; equations were analyze quantum scattering developed this method of the inverse called solvable the scattering problem (on subject, are by known nonlinear At the the class of for same time, currently example [89,94]). see, the other there is solvable this method is narrow on hand, PDEs sufficiently and, by of differential The latter called the another qualitative theory equations. approach, the of various in includes on pr- investigations well-posedness approach particular solutions such or lems for these the behavior of as stability blowing-up, equations, these and this of approach dynamical systems generated by equations, etc., properties in wider class of a makes it to an problems (maybe possible investigate essentially more general study). | ||
| 650 | |a Équation de Schrödinger | ||
| 650 | |a Équation de Korteweg-de Vries | ||
| 650 | |a Équations aux dérivées partielles | ||
| 776 | 0 | |0 058085262 |t Korteweg-de Vries and nonlinear Schrödinger equations |o qualitative theory |f Peter E. Zhidkov |d 2001 |c Berlin |n Springer |p 1 vol. (146 p.) |s Lecture notes in mathematics |z 978-3-540-41833-7 | |
| 776 | 0 | |t Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory |b Texte imprimé |z 9783662161739 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/3-540-45276-1 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-Z041P3ZB-M |z Accès sur la plateforme Istex | |
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