The Isomonodromic Deformation Method in the Theory of Painlevé Equations (Record no. 30489)
[ view plain ]
000 -LEADER | |
---|---|
fixed length control field | 03393nam a22004815i 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9783540398233 |
-- | 978-3-540-39823-3 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515 |
100 1# - MAIN ENTRY--AUTHOR NAME | |
Personal name | Its, Alexander R. |
245 14 - TITLE STATEMENT | |
Title | The Isomonodromic Deformation Method in the Theory of Painlevé Equations |
Statement of responsibility, etc | by Alexander R. Its, Victor Yu. Novokshenov. |
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Berlin, Heidelberg : |
Name of publisher | Springer Berlin Heidelberg, |
Year of publication | 1986. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | CCCXX, 314 p. |
Other physical details | online resource. |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Mathematics, |
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 | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Global analysis (Mathematics). |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematical physics. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Analysis. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Mathematical and Computational Physics. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Novokshenov, Victor Yu. |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/BFb0076661 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | E-BOOKS |
264 #1 - | |
-- | Berlin, Heidelberg : |
-- | Springer Berlin Heidelberg, |
-- | 1986. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
-- | 0075-8434 ; |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
---|---|---|---|---|---|---|---|
IMSc Library | EBK1195 | http://dx.doi.org/10.1007/BFb0076661 | E-BOOKS |