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

Third edition / foreword by Jerry L. Bona and Hongqiu Chen.

9783031146411 (electronic bk.)
3031146417 (electronic bk.)
9783031146404
3031146409

Cham : Springer, 2022.

English

1 online resource : illustrations (black and white).

10.1007/978-3-031-14641-1 doi

QA927

531.1133

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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Description based on print version record.

Springer series in synergetics.

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