The Isomonodromic Deformation Method in the Theory of Painlevé Equations
محفوظ في:
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| سلاسل: | Lecture notes in mathematics
1191 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The isomonodromic deformation method in the theory of Painlevé equations, Alexander R. Its, Victor Yu. Novokshenov, 1986, Berlin [etc.], Springer, 1 volume (IV-313 pages), Lecture notes in mathematics, 3-540-16483-9 • The Isomonodromic Deformation Method in the Theory of Painleve Equations, Texte imprimé, 9783662214459 |
جدول المحتويات:
- Monodromy data for the systems of linear ordinary differential equations with rational coefficients
- Isomonodromic deformations of systems of linear ordinary differential equations with rational coefficients
- Isomonodromic deformations of systems (1.9) and (1.26) and painlevé equations of II and III types
- Inverse problem of the monodromy theory for the systems (1.9) and (1.26). Asymptotic analysis of integral equations of the inverse problem
- Asymptotic solution to a direct problem of the monodromy theory for the system (1.9)
- Asymptotic solution to a direct problem of the monodromy theory for the system (1.26)
- The manifold of solutions of painlevé II equation decreasing as ? ? ??. Parametrization of their asymptotics through the monodromy data. Ablowitz-segur connection formulae for real-valued solutions decreasing exponentially as ? ? + ?
- The manifold of solutions to painlevé III equation. The connection formulae for the asymptotics of real-valued solutions to the cauchy problem
- The manifold of solutions to painlevé II equation increasing as ? ? + ?. The expression of their asymptotics through the monodromy data. The connection formulae for pure imaginary solutions
- The movable poles of real-valued solutions to painlevé II equation and the eigenfunctions of anharmonic oscillator
- The movable poles of the solutions of painlevé III equation and their connection with mathifu functions
- Large-time asymptotics of the solution of the cauchy problem for MKdV equation
- The dynamics of electromagnetic impulse in a long laser amplifier
- The scaling limit in two-dimensional ising model
- Quasiclassical mode of the three-dimensional wave collapse.