Waves Called Solitons: Concepts and Experiments
Written for an interdisciplinary readership of physicists, engineers, and chemists, this book is a practical guide to the fascinating world of solitons. These waves of large amplitude propagate over long distances without dispersing and therefore show one of the most striking aspects of nonlinearity. The author addresses students and practitioners, approaching the subject from the standpoint of applications in optics, hydrodynamics, and electrical and chemical engineering. The book also encourages the readers to perform their own experiments. The second edition of this highly-praised book has new material, especially on nonlinear transmission lines, on various forms of modulational instabilities, and on quantum optical solitons.
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Basic Concepts and the Discovery of Solitons
Linear Waves in Electrical Transmission Lines 1
Solitons in Nonlinear Transmission Lines
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amplitude antikink Appendix arctan assume atomic boundary conditions breather soliton calculate carrier wave coefficient collision consider constant corresponds dark solitons defined depends derivatives described discrete dispersion relation displacement dissipation effects eigenvalues electrical network electrical transmission lines energy envelope soliton evolution experimental experiments expressed fluid fluxon Fourier free surface frequency function given grad group velocity initial input integration interactions KdV equation kink soliton linear dispersive linear wave mode modulated motion nondispersive nonlinear Schrödinger equation nonlinear waves number of solitons observed obtain optical fibers oscillations parameter particles pendulums permanent profile perturbation phase velocity potential pulse solitons represents rewrite Schrödinger equation sech sech2 sinusoidal sketched small amplitude ſº solitary wave soliton solution Substituting superconductors surface tension Toda lattice transform unit length variables voltage water waves wave number wave packet wave propagation waveform wavelength wavenumber wavetrain width yields zero