Introduction to soliton theory: applications to mechanics
type: Item
instance of: scholarly article
title: Introduction to soliton theory: applications to mechanics
zbMATH Open document ID: 1087.76001
author: Ligia Munteanu
author: Stefania Donescu
published in: Fundamental Theories of Physics
publication date: 2004-11-15T00:00:00Z
review text: This is a very mathematical treatment of various tools used in soliton theory. Examples of there tools are: inverse scattering, Bäcklund transformations, Painlevé analysis and the linear equivalence method. Their tools are often described in ways that are known from earlier texts, as in fact is stated by the authors. Practical problems addressed include: thin elastic rods, coupled pendulum oscillations, and blood flows in arteries. Somewhat exotic problems, such as related to Tzitzeica surfaces, also appear. This book can be useful as a reference, though it should be checked for the unavoidable (in the first English edition) misprints.
Mathematics Subject Classification ID: 76-01
Mathematics Subject Classification ID: 74-01
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 74J35
zbMATH DE Number: 2115484
zbMATH Keywords: elastic rods
zbMATH Keywords: blood flow
zbMATH Keywords: Tzitzeica surfaces
reviewed by: Eryk Infeld
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2115484