A non-linear wave is one of the fundamental objects of nature. They are inherent to aerodynamics and hydrodynamics, solid state physics and plasma physics, optics and field theory, chemistry reaction kinetics and population dynamics, nuclear physics and gravity. All non-linear waves can be divided into two parts: dispersive waves and dissipative ones. The history of investigation of these waves has been lasting about two centuries. In 1834 J. S. Russell discovered the extraordinary type of waves without the dispersive broadening. In 1965 N. J. Zabusky and M. D. Kruskal found that the...
A non-linear wave is one of the fundamental objects of nature. They are inherent to aerodynamics and hydrodynamics, solid state physics and plasma phy...
This book has been designed as a tutorial for the theory of non-linear waves in optics. The emphasis is on the basic aspects of the theory, on analytical methods and on non-dissipative phenomena. The self-induced transparency phenomenon and short pulse propagation in fibres are good examples of the important role solitons play in non-linear optics. The classical problem of non-linear optics is the parametric interaction of waves. Three- and four-wave parametric interaction processes are of particular interest because they enable new applications of the inverse scattering transform method to...
This book has been designed as a tutorial for the theory of non-linear waves in optics. The emphasis is on the basic aspects of the theory, on analyti...
