Computable Integrability. Chapter 2: Riccati equation

A. Shabat; Elena Kartaschova

Computable Integrability. Chapter 2: Riccati equation

A. Shabat
, Elena Kartaschova

Research Institute for Symbolic Computation

Research output: Working paper and reports › Preprint

Abstract

It is preliminary version of Chapter 2 of a textbook "Computable Integrability". We use Riccaati equation (RE) as a main example in order to demonstrate ideas and notions introduced in the Chapter 1: integrability in quadratures, conservation laws, etc. We constructed some equivalent forms of Riccati equation and considered different approaches to the soluting RE.

Original language	English
Place of Publication	Johannes Kepler University, Altenberger Str. 69, 4040 Linz
Publisher	RISC
Number of pages	31
Publication status	Published - 2005

Publication series

Name	RISC Report Series
No.	05-08

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101009 Geometry
101012 Combinatorics
101013 Mathematical logic
101020 Technical mathematics

Cite this

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AB - It is preliminary version of Chapter 2 of a textbook "Computable Integrability". We use Riccaati equation (RE) as a main example in order to demonstrate ideas and notions introduced in the Chapter 1: integrability in quadratures, conservation laws, etc. We constructed some equivalent forms of Riccati equation and considered different approaches to the soluting RE.

M3 - Preprint

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BT - Computable Integrability. Chapter 2: Riccati equation

PB - RISC

CY - Johannes Kepler University, Altenberger Str. 69, 4040 Linz

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