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Solitons

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

    Cambridge University Press 2003; US$ 86.00

    This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector. more...

  • Nematiconsby Gaetano Assanto

    Wiley 2012; US$ 145.00

    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$ 269.00

    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

    Cambridge University Press 2001; US$ 56.00

    This 2001 book explains the construction of exact soliton solutions to Einstein's theory of gravity. more...

  • Introduction to non-Kerr Law Optical Solitonsby Anjan Biswas; Swapan Konar

    Taylor and Francis 2006; US$ 119.95

    Despite remarkable developments in the field, a detailed treatment of non-Kerr law media has not been published. Introduction to non-Kerr Law Optical Solitons is the first book devoted exclusively to optical soliton propagation in media that possesses non-Kerr law nonlinearities. After an introduction to the basic features of fiber-optic communications,... more...

  • Topics in Soliton Theoryby R.W. Carroll

    Elsevier Science 1991; US$ 72.95

    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...

  • Basic Methods of Soliton Theoryby I. Cherednik

    World Scientific Publishing Company 1996; US$ 96.00

    In the 25 years of its existence Soliton Theory has drastically expanded our understanding of “integrability” and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical transmission lines.The book is a systematic introduction... more...

  • Solitons, Instantons, and Twistorsby Maciej Dunajski

    Oxford University Press 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$ 89.99

    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...