Introduction to Soliton Theory: Applications to Mechanics

  • Ligia Munteanu
  • Stefania Donescu

Part of the Fundamental Theories of Physics book series (FTPH, volume 143)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Introduction to Soliton Theory

  3. Applications to Mechanics

  4. Back Matter
    Pages 298-315

About this book

Introduction

This monograph provides the application of soliton theory to solve certain problems selected from the fields of mechanics. The work is based of the authors’ research, and on some specified, significant results existing in the literature.

The present monograph is not a simple translation of its predecessor appeared in Publishing House of the Romanian Academy in 2002. Improvements outline the way in which the soliton theory is applied to solve some engineering problems. The book addresses concrete resolution methods of certain problems such as the motion of thin elastic rod, vibrations of initial deformed thin elastic rod, the coupled pendulum oscillations, dynamics of left ventricle, transient flow of blood in arteries, the subharmonic waves generation in a piezoelectric plate with Cantor-like structure, and some problems related to Tzitzeica surfaces.

This comprehensive study enables the readers to make connections between the soliton physical phenomenon and some partical, engineering problems.

Keywords

Cantor Oscillation Pendulum Vibration equation mechanics soliton statics

Authors and affiliations

  • Ligia Munteanu
    • 1
  • Stefania Donescu
    • 2
  1. 1.Institute of Solid MechanicsRomanian AcademyBucharestRomania
  2. 2.Department of MathematicsTechnical University of Civil EngineeringBucharestRomania

Bibliographic information

  • DOI https://doi.org/10.1007/1-4020-2577-7
  • Copyright Information Springer Science + Business Media, Inc. 2005
  • Publisher Name Springer, Dordrecht
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-1-4020-2576-1
  • Online ISBN 978-1-4020-2577-8
  • About this book