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Solitons

Most popular at the top

  • 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...

  • 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...

  • 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

    CRC Press 2010; US$ 121.95

    Hyperbolic Systems of Conservation Laws Preliminaries Examples Scalar Hyperbolic Equations in One Dimension Breakdown of Smooth Solutions Entropy Conditions Revisited Riemann Problem for Nonconvex Flux Function Irreversibility Asymptotic Behavior Hyperbolic Systems in One Space Dimension Genuine Nonlinearity Weak Solutions and Jump... 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$ 100.95

    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$ 150.00

    A pioneer in the field presents the first book on nematicons, spatial optical solitons in nematic liquid crystals Little more than a decade after they were first demonstrated, nematicons have become an important area of research worldwide. This wide-ranging introduction is the first comprehensive collection of scientific work on optical spatial... 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... 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...