Nonlinear waves and solitons on contours and closed surfaces / Andrei Ludu.

Format:

Book

Author/Creator:

Ludu, Andrei.

Series:

Springer series in synergetics.

Springer complexity.

Springer series in synergetics, 0172-7389

Springer complexity

Language:

English

Subjects (All):

Nonlinear waves--Mathematics.

Nonlinear waves.

Solitons--Mathematics.

Solitons.

Compact spaces.

Physical Description:

1 online resource (497 p.)

Edition:

2nd ed.

Place of Publication:

New York : Springer, 2011.

Language Note:

English

Summary:

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. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering. This new edition has been thoroughly revised, expanded and updated.

Contents:

pt. 1. Mathematical prerequisites

pt. 2. Solitons and nonlinear waves on closed curves and surfaces

pt. 3. Physical nonlinear systems at different scales.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786613577740

1-280-39982-1

3-642-22895-X

OCLC:

773924287