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Nonlinear waves and solitons on contours and closed surfaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear waves and solitons on contours and closed surfacesby Andrei Ludu.
Author:	Ludu, Andrei.
Published:	Cham :Springer International Publishing :2022.
Description:	xxxii, 566 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Nonlinear wavesMathematics.
Online resource:	https://doi.org/10.1007/978-3-031-14641-1
ISBN:	9783031146411$q(electronic bk.)

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

Nonlinear waves and solitons on contours and closed surfaces[electronic resource] /by Andrei Ludu. - Third edition. - Cham :Springer International Publishing :2022. - xxxii, 566 p. :ill., digital ;24 cm. - Springer series in synergetics,2198-333X. - Springer series in synergetics..

Introduction -- Topology and Algebra -- Vector Fields, Diﬀerential Forms, and Derivatives -- The Importance of the Boundary -- Geometry of Curves -- Geometry of Surfaces -- Motion of Curves and Solitons -- Kinematics of Fluids -- Hydrodynamics.

This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics. The book has a Foreword by Jerry L. Bona and Hongqiu Chen. The book 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.

ISBN: 9783031146411$q(electronic bk.)

Standard No.: 10.1007/978-3-031-14641-1doiSubjects--Topical Terms:

560197
Nonlinear waves
--Mathematics.

LC Class. No.: QA927

Dewey Class. No.: 531.1133

Nonlinear waves and solitons on contours and closed surfaces
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505 0 $a Introduction -- Topology and Algebra -- Vector Fields, Diﬀerential Forms, and Derivatives -- The Importance of the Boundary -- Geometry of Curves -- Geometry of Surfaces -- Motion of Curves and Solitons -- Kinematics of Fluids -- Hydrodynamics.
520 $a This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics. The book has a Foreword by Jerry L. Bona and Hongqiu Chen. The book 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.
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