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Solitons

Most popular at the top

  • 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...

  • Waves and Oscillationsby Walter Fox Smith

    Oxford University Press, USA 2010; US$ 74.99

    Waves and oscillations permeate virtually every field of current physics research, are central to chemistry, and are essential to much of engineering. Furthermore, the concepts and mathematical techniques used for serious study of waves and oscillations form the foundation for quantum mechanics. Once they have mastered these ideas in a classical context,... more...

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

    Taylor and Francis 2010; US$ 115.95

    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...

  • 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...

  • Dispersion Decay and Scattering Theoryby Alexander Komech; Elena Kopylova

    Wiley 2014; US$ 97.95

    A simplified, yet rigorous treatment of scattering theory methods and their applications Dispersion Decay and Scattering Theory provides thorough, easy-to-understand guidance on the application of scattering theory methods to modern problems in mathematics, quantum physics, and mathematical physics. Introducing spectral methods with applications... 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...

  • The Dirac Equation and its Solutionsby Vladislav G. Bagrov; Dmitry Gitman

    De Gruyter 2014; US$ 182.00

    The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics, representing the one-particle wave equation of motion for electrons in an external electromagnetic field.In this monograph, all propagators of a particle, i.e., the various Green's functions, are constructed in a certain way by using exact... 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...

  • Quantum Many-Body Systems in One Dimensionby Zachary Ha

    World Scientific Publishing Company 1996; US$ 52.00

    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...

  • Soliton Equations and Hamiltonian Systemsby L. A. Dickey

    World Scientific Publishing Company 2003; US$ 123.00

    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...