The Isomonodromic Deformation Method in the Theory of Painlevé Equations [electronic resource] /
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.
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Format: | Texto biblioteca |
Language: | eng |
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Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1986
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Subjects: | Mathematics., Mathematical analysis., Analysis (Mathematics)., Physics., Analysis., Theoretical, Mathematical and Computational Physics., |
Online Access: | http://dx.doi.org/10.1007/BFb0076661 |
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KOHA-OAI-TEST:2106192018-07-30T23:43:03ZThe Isomonodromic Deformation Method in the Theory of Painlevé Equations [electronic resource] / Its, Alexander R. author. Novokshenov, Victor Yu. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1986.engMonodromy 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.Mathematics.Mathematical analysis.Analysis (Mathematics).Physics.Mathematics.Analysis.Theoretical, Mathematical and Computational Physics.Springer eBookshttp://dx.doi.org/10.1007/BFb0076661URN:ISBN:9783540398233 |
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Mathematics. Mathematical analysis. Analysis (Mathematics). Physics. Mathematics. Analysis. Theoretical, Mathematical and Computational Physics. Mathematics. Mathematical analysis. Analysis (Mathematics). Physics. Mathematics. Analysis. Theoretical, Mathematical and Computational Physics. |
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Mathematics. Mathematical analysis. Analysis (Mathematics). Physics. Mathematics. Analysis. Theoretical, Mathematical and Computational Physics. Mathematics. Mathematical analysis. Analysis (Mathematics). Physics. Mathematics. Analysis. Theoretical, Mathematical and Computational Physics. Its, Alexander R. author. Novokshenov, Victor Yu. author. SpringerLink (Online service) The Isomonodromic Deformation Method in the Theory of Painlevé Equations [electronic resource] / |
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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. |
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Texto |
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Mathematics. Mathematical analysis. Analysis (Mathematics). Physics. Mathematics. Analysis. Theoretical, Mathematical and Computational Physics. |
author |
Its, Alexander R. author. Novokshenov, Victor Yu. author. SpringerLink (Online service) |
author_facet |
Its, Alexander R. author. Novokshenov, Victor Yu. author. SpringerLink (Online service) |
author_sort |
Its, Alexander R. author. |
title |
The Isomonodromic Deformation Method in the Theory of Painlevé Equations [electronic resource] / |
title_short |
The Isomonodromic Deformation Method in the Theory of Painlevé Equations [electronic resource] / |
title_full |
The Isomonodromic Deformation Method in the Theory of Painlevé Equations [electronic resource] / |
title_fullStr |
The Isomonodromic Deformation Method in the Theory of Painlevé Equations [electronic resource] / |
title_full_unstemmed |
The Isomonodromic Deformation Method in the Theory of Painlevé Equations [electronic resource] / |
title_sort |
isomonodromic deformation method in the theory of painlevé equations [electronic resource] / |
publisher |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, |
publishDate |
1986 |
url |
http://dx.doi.org/10.1007/BFb0076661 |
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