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Solitons

Most popular at the top

  • Optical Solitonsby Yuri S. Kivshar; Govind Agrawal

    Elsevier Science 2003; US$ 118.00

    The 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...

  • Quantum Many-Body Systems in One Dimensionby Zachary Ha

    World Scientific Publishing Company 1996; US$ 30.00

    The main theme of the book is the intimate connection between the two families of exactly solvable models: the inverse-square exchange (ISE) and the nearest-neighbor exchange (NNE) models. The latter are better known as the Bethe-Ansatz solvable models and include the Heisenberg spin chain, t–J models and Hubbard models. The former, the Calogero–Sutherland... more...

  • Quasilinear Hyperbolic Systems, Compressible Flows, and Wavesby Vishnu D. Sharma

    CRC Press 2010; US$ 121.95

    Filled with practical examples, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves presents a self-contained discussion of quasilinear hyperbolic equations and systems with applications. It emphasizes nonlinear theory and introduces some of the most active research in the field. After linking continuum mechanics and quasilinear partial... more...

  • Semi-Classical Analysis for Nonlinear Schrodinger Equationsby Rémi Carles

    World Scientific Publishing Company 2008; US$ 77.00

    These lecture notes review recent results on the high-frequency analysis of nonlinear Schrödinger equations in the presence of an external potential. The book consists of two relatively independent parts: WKB analysis, and caustic crossing. In the first part, the basic linear WKB theory is constructed and then extended to the nonlinear framework. The... more...

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

    Springer Berlin Heidelberg 2006; US$ 269.00

    This book is devoted to one of the most interesting and rapidly developing areas of modern nonlinear physics and mathematics ? theoretical, analytical andnumerical,studyofthestructureanddynamicsofone-dimensionalaswell as two- and three-dimensional solitons and nonlinear wave packets described by the Korteweg?de Vries (KdV), Kadomtsev?Petviashvili (KP),... more...

  • Soliton Equations and Hamiltonian Systemsby L. A. Dickey

    World Scientific Publishing Company 2003; US$ 71.00

    The theory of soliton equations and integrable systems has developed rapidly during the last 30 years with numerous applications in mechanics and physics. For a long time, books in this field have not been written but the flood of papers was overwhelming: many hundreds, maybe thousands of them. All this output followed one single work by Gardner, Green,... more...

  • Soliton Management in Periodic Systemsby Boris A. Malomed

    Springer US 2006; US$ 199.00

    During the past ten years, there has been intensive development in theoretical and experimental research of solitons in periodic media. This book provides a unique and informative account of the state-of-the-art in the field. The volume opens with a review of the existence of robust solitary pulses in systems built as a periodic concatenation... more...

  • Solitons, Instantons, and Twistorsby Maciej Dunajski

    Oxford University Press 2009; US$ 69.99

    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...

  • Strain Solitons in Solids and How to Construct Themby Alexander M. Samsonov

    CRC Press 2001; US$ 172.95

    Although the theory behind solitary waves of strain shows that they hold significant promise in nondestructive testing and a variety of other applications, an enigma has long persisted-the absence of observable elastic solitary waves in practice. Inspired by this apparent contradiction, Strain Solitons in Solids and How to Construct Them refines the... more...

  • Supersymmetric Solitonsby M. Shifman; A. Yung

    Cambridge University Press 2009; US$ 116.00

    This book summarizes major advances in critical solitons in supersymmetric theories and their implications, for researchers. more...