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Wednesday, July 29, 2020 | History

3 edition of Nonlinear waves and solitons on contours and closed surfaces found in the catalog.

Nonlinear waves and solitons on contours and closed surfaces

Andrei Ludu

Nonlinear waves and solitons on contours and closed surfaces

by Andrei Ludu

  • 391 Want to read
  • 36 Currently reading

Published by Springer in Berlin, New York .
Written in English

    Subjects:
  • Nonlinear waves -- Mathematics.,
  • Solitons -- Mathematics.,
  • Compact spaces.

  • Edition Notes

    Includes bibliographical references (p. 453-460) and index.

    StatementAndrei Ludu.
    SeriesSpringer series in synergetics, Springer complexity
    Classifications
    LC ClassificationsQA927 .L83 2007
    The Physical Object
    Paginationxix, 464 p. :
    Number of Pages464
    ID Numbers
    Open LibraryOL19968300M
    ISBN 109783540728726
    LC Control Number2007929854

    Solitons are nonlinear waves. As a preliminary definition, a soliton is considered as solitary, traveling wave pulse solution of nonlinear partial differential equation (PDE). The nonlinearity will play a significant role. For most dispersive evolution equations these solitary waves would scatter inelastically and lose 'energy' due to the radiation. waves on the ocean, sound waves in the air or other media, and electromagnetic waves, of which visible light is a special case. A common feature of these examples is that they all can be described by partial differential equations (PDE). The purpose of these lecture notes is to give an introduction to various kinds of PDE describing Size: 1MB.

    Numerical simulations reveal, that these solitary pulses are not solitons, since they do not survive collisions among each other. However, in the exceptional case Δ R (q) ∝ q, such collisions are almost elastic. An explanation for this behaviour is proposed in. 5. Nonlinear surface acoustic waves localized at a Cited by: 8 Evolution and stability of initially one-dimensional waves and solitons A brief historical survey of large amplitude nonlinear wave studies Solitons Water waves are unstable The geometrical optics limit

    Nonlinear Waves in Integrable and Non-integrable Systems ; Nonlinear Waves by Lokenath Debnath ; Nonlinear Waves and Solitons on Contours and Closed Surfaces (2nd edition) Nonlinear Waves: Classical and Quantum Aspects ; Cartanian Geometry Nonlinear Waves. Interdisciplinary Mathematics Series. No part of this book may be reproduced in any form by point, microfilm or any other means with-out written permission from the Tata Institute of Fundamental Research, Colaba, Bombay Printed by N. S. Ray at The Book Centre Limited, Sion East, Bombay and published by H. Goetz, Springer-Verlag, Heidelberg, West Germany Printed In.


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Nonlinear waves and solitons on contours and closed surfaces by Andrei Ludu Download PDF EPUB FB2

Before entering in the field of nonlinear waves on closed contours and surfaces we need to recall some useful mathematical concepts. The cnoidal waves, solitary waves, and solitons are solutions Author: Andrei Ludu.

This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems.5/5(1). This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours.

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It assumes familiarity with basic soliton theory and nonlinear dynamical systems. Nonlinear waves and solitons on contours and closed surfaces. [Andrei Ludu] Boundary Conditions for Moving Fluid Interfaces Dynamics of the Fluid Interfaces --Part II Solitons and Nonlinear Waves on Closed Curves and Surfaces Kinematics of Hydrodynamics Lagrangian vs.

Eulerian Frames Nonlinear Waves and Solitons on Contours and Closed Surfaces provides graduate students and researchers in mathematics, physics and engineering with a ready tutorial and reference Keywords Soliton closed curves contour dynamics differential geometry dynamische Systeme geometry manifold modeling nonlinear waves solitons surface waves.

Get this from a library. Nonlinear waves and solitons on contours and closed surfaces. [Andrei Ludu] -- Annotation This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours.

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Free shipping for many products. Examples of these are coherent entities like nonlinear waves and solitons, as well as the incoherent structures associated with chaos. The first part of the book is a self-contained introduction to general topics associated with nonlinear physics, and would be accessible to final-year undergraduates and beginning postgraduate students.

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This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a Brand: Springer Berlin Heidelberg.

The present volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours. The first part of the book introduces the mathematical concept required for treating the manifolds considered.

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Nonlinear Waves and Solitons on Contours and Closed Surfaces by Andrei Ludu Author:Andrei Ludu, Date: Ma ,Views: