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Nonlinear Waves and Solitons on Contours and Closed Surfaces

Andrei Ludu author

Format:Hardback

Publisher:Springer International Publishing AG

Published:5th Nov '22

Currently unavailable, and unfortunately no date known when it will be back

This hardback is available in another edition too:

Nonlinear Waves and Solitons on Contours and Closed Surfaces cover

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.


“The interested reader can find a sufficiently readable exposition of the basic ideas of this topic, taste the implementation of a wide range of analytical and numerical methods for obtaining new results … and enjoy a comprehensive review of their applications. ... I would say that the third edition of the book Nonlinear Waves and Solitons on Contours and Closed Surfaces by Andrei Ludu is worth reading for everyone interested in the exciting theory of solitary waves … .” (Vassil M. Vassilev, Journal of Geometry and Symmetry in Physics JGSP, Vol. 66, 2023)

ISBN: 9783031146404

Dimensions: unknown

Weight: unknown

566 pages

3rd ed. 2022