Nonlinear Waves and Solitons on Contours and Closed Surfaces, Ludu
Автор: Guo Boling, Pang Xiao-Feng, Wang Yu-Feng Название: Solitons ISBN: 3110549247 ISBN-13(EAN): 9783110549249 Издательство: Walter de Gruyter Цена: 40403.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics.
Contents Introduction Inverse scattering transform Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations Interaction of solitons and its asymptotic properties Hirota method B cklund transformations and the infinitely many conservation laws Multi-dimensional solitons and their stability Numerical computation methods for some nonlinear evolution equations The geometric theory of solitons Global existence and blow up for the nonlinear evolution equations The soliton movements of elementary particles in nonlinear quantum field The theory of soliton movement of superconductive features The soliton movements in condensed state systemsontents
Автор: Andrei Ludu Название: Nonlinear Waves and Solitons on Contours and Closed Surfaces ISBN: 3642091962 ISBN-13(EAN): 9783642091964 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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 second and third parts discuss the modeling of various physical solitons on compact systems.
Описание: 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.
Автор: Andrei Ludu Название: Nonlinear Waves and Solitons on Contours and Closed Surfaces ISBN: 3642440517 ISBN-13(EAN): 9783642440519 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Extensively revised, expanded and updated for the new edition, this book offers a comprehensive introduction to nonlinear waves and soliton theory in the special environment of compact spaces such as closed curves and surfaces and other domain contours.
Автор: Sharma Название: Conformal Vector Fields, Ricci Solitons and Related Topics ISBN: 9819992575 ISBN-13(EAN): 9789819992577 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, this book brings together discussion of solitary waves and construction of soliton solutions and provides a discussion of solitons using simple model examples.
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