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Solitons

  • Discrete and Continuous Nonlinear Schrödinger Systemsby M. J. Ablowitz; B. Prinari; A. D. Trubatch; J. W. S. Cassels

    Cambridge University Press 2003; US$ 82.00

    In 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...

  • Nematiconsby Gaetano Assanto

    Wiley 2012; US$ 140.00

    The first book of its kind to introduce the fundamentals, basic features and models, potential applications and novel phenomena and its important applications in liquid crystal technology. Recognized leader in the field Gaetano Assanto outlines the peculiar characteristics of nematicons and the promise they have for the future growth of this captivating... more...

  • Solitary Waves in Dispersive Complex Mediaby Vasily Y. Belashov; Sergey V. Vladimirov

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 199.99

    Deals with the theoretical, analytical and advanced numerical study of the structure and dynamics of one-dimensional as well as two- and three-dimensional solitons and nonlinear waves described by Korteweg-de Vries (KdV), Kadomtsev-Petviashvili (KP), nonlinear Schrodinger (NLS) and derivative NLS (DNLS) classes of equations. more...

  • Gravitational Solitonsby V. Belinski; E. Verdaguer; P. V. Landshoff; D. R. Nelson; D. W. Sciama; S. Weinberg

    Cambridge University Press 2001; US$ 53.00

    This 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...

  • Introduction to non-Kerr Law Optical Solitonsby Anjan Biswas

    Taylor & Francis 2007; US$ 107.95

    This 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...

  • Topics in Soliton Theoryby R.W. Carroll

    Elsevier Science 1991; US$ 220.00

    When 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...

  • Solitons, Instantons, and Twistorsby Maciej Dunajski

    OUP Oxford 2009; US$ 64.99

    Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical... more...

  • The Versatile Solitonby Alexandre T. Filippov

    Springer 2010; US$ 59.95

    If you have not already heard about solitons, you will sooner or later encounter them. The soliton, a solitary wave impulse preserving its shape and strikingly similar to a particle, is one of the most fascinating and beautiful phenomena in the physics of nonlinear waves. In this engaging book, the concept of the soliton is traced from the beginning... more...

  • Solitary Waves in Fluidsby R.H.J. Grimshaw

    WIT Press 2007; US$ 140.00

    After the initial observation by John Scott Russell of a solitary wave in a canal, his insightful laboratory experiments and the subsequent theoretical work of Boussinesq, Rayleigh and Korteweg and de Vries, interest in solitary waves in fluids lapsed until the mid 1960's with the seminal paper of Zabusky and Kruskal describing the discovery of... more...