Alexander R. Its, Victor Yu. Novokshenov (auth.)9780387164830, 0-387-16483-9
Table of contents :
Introduction….Pages 1-14
Monodromy data for the systems of linear ordinary differential equations with rational coefficients….Pages 15-37
Isomonodromic deformations of systems of linear ordinary differential equations with rational coefficients….Pages 38-42
Isomonodromic deformations of systems (1.9) and (1.26) and painlevé equations of II and III types….Pages 43-45
Inverse problem of the monodromy theory for the systems (1.9) and (1.26). Asymptotic analysis of integral equations of the inverse problem….Pages 46-61
Asymptotic solution to a direct problem of the monodromy theory for the system (1.9)….Pages 62-79
Asymptotic solution to a direct problem of the monodromy theory for the system (1.26)….Pages 80-86
The manifold of solutions of painlevé II equation decreasing as χ → −∞. Parametrization of their asymptotics through the monodromy data. Ablowitz-segur connection formulae for real-valued solutions decreasing exponentially as χ → + ∞ ….Pages 87-93
The manifold of solutions to painlevé III equation. The connection formulae for the asymptotics of real-valued solutions to the cauchy problem….Pages 94-108
The manifold of solutions to painlevé II equation increasing as χ → + ∞ . The expression of their asymptotics through the monodromy data. The connection formulae for pure imaginary solutions….Pages 109-123
The movable poles of real-valued solutions to painlevé II equation and the eigenfunctions of anharmonic oscillator….Pages 124-146
The movable poles of the solutions of painlevé III equation and their connection with mathifu functions….Pages 147-172
Large-time asymptotics of the solution of the cauchy problem for MKdV equation….Pages 173-204
The dynamics of electromagnetic impulse in a long laser amplifier….Pages 205-211
The scaling limit in two-dimensional ising model….Pages 212-215
Quasiclassical mode of the three-dimensional wave collapse….Pages 216-229
Reviews
There are no reviews yet.