Coverart for item
The Resource The isomonodromic deformation method in the theory of Painlevé equations, Alexander R. Its, Victor Yu. Novokshenov

The isomonodromic deformation method in the theory of Painlevé equations, Alexander R. Its, Victor Yu. Novokshenov

Label
The isomonodromic deformation method in the theory of Painlevé equations
Title
The isomonodromic deformation method in the theory of Painlevé equations
Statement of responsibility
Alexander R. Its, Victor Yu. Novokshenov
Creator
Contributor
Subject
Genre
Language
eng
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorName
Its, Alexander R
Dewey number
  • 510 s
  • 515.3/52
Illustrations
illustrations
Index
no index present
LC call number
  • QA3
  • QA372
LC item number
.L28 no. 1191
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Novokshenov, V. I︠U︡
Series statement
Lecture notes in mathematics,
Series volume
1191
http://library.link/vocab/subjectName
  • Painlevé equations
  • Isomonodromic deformation method
  • Équations différentielles
  • Isomonodromic deformation method
  • Painlevé equations
  • Monodromie
  • Painlevé-Gleichung
  • Matematica
Label
The isomonodromic deformation method in the theory of Painlevé equations, Alexander R. Its, Victor Yu. Novokshenov
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 307-311)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
294939198
Dimensions
unknown
Extent
1 online resource (iv, 313 pages)
Form of item
online
Isbn
9783540398233
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)294939198
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
The isomonodromic deformation method in the theory of Painlevé equations, Alexander R. Its, Victor Yu. Novokshenov
Publication
Bibliography note
Includes bibliographical references (pages 307-311)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
294939198
Dimensions
unknown
Extent
1 online resource (iv, 313 pages)
Form of item
online
Isbn
9783540398233
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)294939198
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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