The Isomonodromic Deformation Method in the Theory of Painlevé Equations (Record no. 12011)

MARC details
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fixed length control field 03593nam a22004695i 4500
001 - CONTROL NUMBER
control field 978-3-540-39823-3
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20190213151826.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
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fixed length control field 121227s1986 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540398233
-- 978-3-540-39823-3
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/BFb0076661
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA299.6-433
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBK
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT034000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBK
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Its, Alexander R.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 14 - TITLE STATEMENT
Title The Isomonodromic Deformation Method in the Theory of Painlevé Equations
Medium [electronic resource] /
Statement of responsibility, etc by Alexander R. Its, Victor Yu. Novokshenov.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg :
-- Imprint: Springer,
-- 1986.
300 ## - PHYSICAL DESCRIPTION
Extent CCCXX, 314 p.
Other physical details online resource.
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-- txt
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-- computer
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-- rdamedia
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-- online resource
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347 ## -
-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
International Standard Serial Number 0075-8434 ;
Volume number/sequential designation 1191
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Global analysis (Mathematics).
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Analysis.
-- http://scigraph.springernature.com/things/product-market-codes/M12007
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Theoretical, Mathematical and Computational Physics.
-- http://scigraph.springernature.com/things/product-market-codes/P19005
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Novokshenov, Victor Yu.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783662214459
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783540164838
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Mathematics,
-- 0075-8434 ;
Volume number/sequential designation 1191
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1007/BFb0076661
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