Painlevé Equations and Related Topics: Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011
| PUBLISHER | de Gruyter (08/17/2012) |
| PRODUCT TYPE | Hardcover (Hardcover) |
This is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011.
The survey articles discuss the following topics:
- General ordinary differential equations
- Painlevé equations and their generalizations
- Painlevé property
- Discrete Painlevé equations
- Properties of solutions of all mentioned above equations:
- Asymptotic forms and asymptotic expansions
- Connections of asymptotic forms of a solution near different points
- Convergency and asymptotic character of a formal solution
- New types of asymptotic forms and asymptotic expansions
- Riemann-Hilbert problems
- Isomonodromic deformations of linear systems
- Symmetries and transformations of solutions
- Algebraic solutions - Reductions of PDE to Painlevé equations and their generalizations
- Ordinary Differential Equations systems equivalent to Painlevé equations and their generalizations
- Applications of the equations and the solutions
This is a proceedings of the international conference "Painlev Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011.
The proceedingspresentsthe whole spectrum of mathematical problems connected with Painlev equations, all methods (old and new) of solution of ODEs, and some of the applications of Painlev equations. The survey articles discuss the following topics: general ordinary differential equations, Painlev equations and their generalizations, Painlev property, discrete Painlev equations, properties of solutions of all mentioned above equations, reductions of partial differential equations to Painlev equations and their generalizations, ordinary differential equation systems equivalent to Painlev equations and their generalizations, and applications of the equations and the solutions.
The book will be interesting and useful for mathematicians and physicists - from students up to lecturers, professors, and researchers.
This is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011.
The survey articles discuss the following topics:
- General ordinary differential equations
- Painlevé equations and their generalizations
- Painlevé property
- Discrete Painlevé equations
- Properties of solutions of all mentioned above equations:
- Asymptotic forms and asymptotic expansions
- Connections of asymptotic forms of a solution near different points
- Convergency and asymptotic character of a formal solution
- New types of asymptotic forms and asymptotic expansions
- Riemann-Hilbert problems
- Isomonodromic deformations of linear systems
- Symmetries and transformations of solutions
- Algebraic solutions - Reductions of PDE to Painlevé equations and their generalizations
- Ordinary Differential Equations systems equivalent to Painlevé equations and their generalizations
- Applications of the equations and the solutions