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Discrete and Continuous Nonlinear Schrödinger Systemsby M. J. Ablowitz; B. Prinari; A. D. Trubatch; J. W. S. Cassels
Cambridge University Press 2003; US$ 77.00In this book, the detailed mathematical analysis of the scattering theory is presented, soliton solutions are obtained and soliton interactions, both scalar and vector, are analyzed. Many details presented, including aspects of the scattering theory, solution methodology, soliton solutions and vector soliton interactions are not available in the previously-published literature. more...
Gravitational Solitonsby V. Belinski; E. Verdaguer; P. V. Landshoff; D. R. Nelson; D. W. Sciama; S. Weinberg
Cambridge University Press 2001; US$ 50.00This is the first book to give a self-contained exposition of the theory of gravitational solitons and provide a comprehensive review of exact soliton solutions to Einstein's equations. A valuable reference for researchers and graduate students. more...
Nonlinear Wavesby Vladimir V. Konotop
Springer 2005; US$ 285.00Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear optics and photonics. Classical and quantum aspects of the dynamics of nonlinear waves are considered. more...
Introduction to Soliton Theoryby Ligia Munteanu; Stefania Donescu
Springer 2005; US$ 259.00This monograph provides the application of soliton theory to solve certain problems selected from the fields of mechanics. The work is based of the authors? research, and on some specified, significant results existing in the literature. The present monograph is not a simple translation of its predecessor appeared in Publishing House of the Romanian Academy in 2002. Improvements outline the way in which the soliton theory is applied to solve some engineering problems. The book addresses concrete resolution methods of certain problems such as the motion of thin elastic rod, vibrations of initial deformed thin elastic rod, the coupled pendulum oscillations, dynamics of left ventricle, transient flow of blood in arteries, the subharmonic waves... more...
Strain Solitons in Solids and How to Construct Themby Alexander M. Samsonov
CRC Press 2001; US$ 119.95This volume offers to refine the theory of solitary waves of strain. It explores how to construct a powerful deformation pulse in a waveguide without plastic flow or fracture, and proposes a direct method of strain soliton generation, detection and observation. more...
The Direct Method in Soliton Theoryby Ryogo Hirota; Atsushi Nagai; Jon Nimmo; Claire Gilson; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak; B. Simon
Cambridge University Press 2004; US$ 94.00The modern version of the bilinear, or Hirota's direct, method is described here using relatively simple mathematics. As the only account in book form of the modern form of the theory, it will be essential reading for all those working in soliton theory. more...
Topological Solitonsby Nicholas Manton; Paul Sutcliffe; P. V. Landshoff; D. R. Nelson; S. Weinberg
Cambridge University Press 2004; US$ 83.00This book introduces the main examples of topological solitons in classical field theories, discusses the forces between solitons, and surveys both static and dynamic multi-soliton solutions. It covers kinks in one dimension, lumps and vortices in two dimensions, monopoles and Skyrmions in three dimensions, and instantons in four dimensions. more...
Kinks and Domain Wallsby Tanmay Vachaspati
Cambridge University Press 2006; US$ 40.00The book examines classical solitons, and their principal classical and quantum properties. It includes several state-of-the-art results and each chapter contains questions and research problems. This book will be of great interest to graduate students and academic researchers in theoretical physics, particle physics, cosmology and condensed matter physics. more...
Introduction to non-Kerr Law Optical Solitonsby Anjan Biswas
Taylor & Francis 2007; US$ 89.95This book is the first dedicated to optical soliton propagation in media with non-Kerr law nonlinearities. After establishing a foundation in optical communication and the nonlinear Schrödinger equation, the authors examine various properties of non-Kerr law solitons in detail. They construct soliton dynamics, evaluate the integral of motion, and develop the adiabatic dynamics of soliton parameters for the power law, dual power law, parabolic law, and saturable law nonlinearities. Later chapters discuss intra-channel collisions, optical couplers, and optical bullets. Establishing a basis in an important yet insufficiently documented subject, this book will help fuel advances in optical communication systems. more...
Soliton Management in Periodic Systemsby Boris A. Malomed
Springer-Verlag New York Inc 2006; US$ 139.00In a field of study that is in intensive development, this book provides a snapshot of the state of the art. It includes a review of the existence of soliton-like solitary pulses in systems built as a periodic concatenation of different elements. It also contains an example of the dispersion management in fiber-optic telecommunication links. more...









