Del 1191 - Lecture Notes in Mathematics

Isomonodromic Deformation Method in the Theory of Painleve Equations

Häftad, Engelska, 1986

Av Alexander R. Its, Victor Y. Novokshenov

569 kr

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Produktinformation

Utgivningsdatum1986-05-01
Mått155 x 235 x undefined mm
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor314
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
EAN9783540164838

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Beräkning och matematisk analys inom Naturvetenskap och teknik

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.

Isomonodromic Deformation Method in the Theory of Painleve Equations

Produktinformation

Mer från samma författare

Random Matrix Models and their Applications

Painleve Transcendents

Mer från samma serie

Stochastic Processes - Mathematics and Physics II

From Hahn-Banach to Monotonicity

Probabilistic Group Theory, Combinatorics, and Computing

Leavitt Path Algebras

Index and Other Useful Information

Geometric Properties of Banach Spaces and Nonlinear Iterations

Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

Zeta Integrals, Schwartz Spaces and Local Functional Equations

Fredholm and Local Spectral Theory II

Flexibility of Group Actions on the Circle

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