portada Padé Methods for Painlevé Equations (en Inglés)

Padé Methods for Painlevé Equations (en Inglés)

Formato

Libro Físico

Autor

Hidehito Nagao

Yasuhiko Yamada

Editorial

Springer

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x0.5 cm

Peso

0.15 kg.

ISBN13

9789811629976

Categorías

Cálculo diferencial y ecuaciones
Física matemática

Padé Methods for Painlevé Equations (en Inglés)

Hidehito Nagao (Autor) · Yasuhiko Yamada (Autor) · Springer · Tapa Blanda

Libro Nuevo Importado

Envío: 17 a 24 días háb.

$ 130.74$ 71.91

-45%

Costos de importación incluídos en el precio ✅

Libro Nuevo

Quedan más de 100 unidades

$ 71.91

Llega entre el 18 Sep y el 01 Oct a Quito, Pichincha. Seleccionar ubicación

Agregar a lista de deseos

Reseña del libro "Padé Methods for Painlevé Equations (en Inglés)"

The isomonodromic deformation equations such as the Painlevé and Garnier systems are an important class of nonlinear differential equations in mathematics and mathematical physics. For discrete analogs of these equations in particular, much progress has been made in recent decades. Various approaches to such isomonodromic equations are known: the Painlevé test/Painlevé property, reduction of integrable hierarchy, the Lax formulation, algebro-geometric methods, and others. Among them, the Padé method explained in this book provides a simple approach to those equations in both continuous and discrete cases.For a given function f(x), the Padé approximation/interpolation supplies the rational functions P(x), Q(x) as approximants such as f(x) P(x)/Q(x). The basic idea of the Padé method is to consider the linear differential (or difference) equations satisfied by P(x) and f(x)Q(x). In choosing the suitable approximation problem, the linear differential equations give the Lax pair for some isomonodromic equations. Although this relation between the isomonodromic equations and Padé approximations has been known classically, a systematic study including discrete cases has been conducted only recently. By this simple and easy procedure, one can simultaneously obtain various results such as the nonlinear evolution equation, its Lax pair, and their special solutions. In this way, the method is a convenient means of approaching the isomonodromic deformation equations.