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Discrete and Continuous Nonlinear Schrödinger Systems
Cambridge University Press 2003; US$ 82.00In 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... more...
Gravitational Solitons
Cambridge University Press 2001; US$ 53.00This 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 Waves
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...
The Direct Method in Soliton Theory
Cambridge University Press 2004; US$ 100.00The 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 Solitons
Cambridge University Press 2004; US$ 84.00This 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...
Introduction to non-Kerr Law Optical Solitons
Taylor & Francis 2007; US$ 107.95This 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... more...
Darboux Transformations in Integrable Systems
Springer 2006; US$ 149.99Presents the Darboux transformations in matrix form and provides algebraic algorithms for constructing the explicit solutions. This work elucidates the behavior of simple and multi-solutions, even in multi-dimensional cases. It contains many results that were obtained by the authors in the past few years. more...
Optical Solitons
Elsevier Science 2003; US$ 113.95The current research into solitons and their use in fiber optic communications is very important to the future of communications. Since the advent of computer networking and high speed data transmission technology people have been striving to develop faster and more reliable communications media. Optical pulses tend to broaden over relatively short... more...
Topics in Soliton Theory
Elsevier Science 1991; US$ 220.00When soliton theory, based on water waves, plasmas, fiber optics etc., was developing in the 1960-1970 era it seemed that perhaps KdV (and a few other equations) were really rather special in the set of all interesting partial differential equations. As it turns out, although integrable systems are still special, the mathematical interaction of integrable... more...









