Basics of Nonlinear Wave Theory - Abrahamyan, Martin
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This book contains a special course on foundations of theory of nonlinear waves observed in a number of natural phenomena. In it the reader can find the basic methods of mathematical description of these phenomena. It details the methods for solving of nonlinear equations of: simple waves, Burgers, Schrodinger, sine-Gordon, Korteweg de Vries etc. The different methods of construction of multi-soliton solutions of these equations are described. Some applications of nonlinear wave theory in hydro- and gas- dynamics, optics, electrodynamics are discussed. The book is addressed to university…mehr

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Produktbeschreibung
This book contains a special course on foundations of theory of nonlinear waves observed in a number of natural phenomena. In it the reader can find the basic methods of mathematical description of these phenomena. It details the methods for solving of nonlinear equations of: simple waves, Burgers, Schrodinger, sine-Gordon, Korteweg de Vries etc. The different methods of construction of multi-soliton solutions of these equations are described. Some applications of nonlinear wave theory in hydro- and gas- dynamics, optics, electrodynamics are discussed. The book is addressed to university students, graduate students and professionals studying nonlinear phenomena.
Autorenporträt
Professor of Yerevan State University, Yerevan, Armenia. Doctor phys-math sciences, 1986. Scientific interests: astrophysics, theoretical physics, physics of gravitating systems. Has authored more than 120 scientific papers, about 40 textbooks, manuals and monographs. Is the author of nonlinear wave theory of spiral structure of Galaxies...