ABSTRACT

The theory of waves is generalized on cases of strongly nonlinear waves, multivalued waves, and particle–waves. The appearance of these waves in various continuous media and physical fields is explained by resonances and nonlinearity effects. Extreme waves emerging in different artificial and natural systems from atom scale to the Universe are explored. Vast amounts of experimental data and comparisons of them with the results of the developed theory are presented.


The book was written for graduate students as well as for researchers and engineers in the fields of geophysics, nonlinear wave studies, cosmology, physical oceanography, and ocean and coastal engineering. It is designed as a professional reference for those working in the wave analysis and modeling fields.


 

part I|70 pages

An Example of a Unified Theory of Extreme Waves

chapter 2|32 pages

Euler’s Figures and Extreme Waves

Examples, Equations, and Unified Solutions

part II|192 pages

Waves in Finite Resonators

chapter 4|37 pages

Extreme Resonant Waves

A Quadratic Nonlinear Theory

chapter 5|34 pages

Extreme Resonant Waves

A Cubic Nonlinear Theory

chapter 6|29 pages

Spherical Resonant Waves

chapter 7|52 pages

Extreme Faraday Waves

part IV|106 pages

Modeling of Particle–Waves, Slit Experiments, and the Extreme Waves in Scalar Fields