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Technology and Nature. vol I). — ISBN-13 9781003038504.
The book is devoted to extreme waves. In the case of ocean waves, extreme waves mean unexpectedly appearing and disappearing waves. Their amplitude should exceed more than twice the amplitude of the surrounding waves. Extreme waves were also detected in optical systems. It is interesting that both oceanic and optical extreme waves are usually described by the same nonlinear Schrödinger equation. But, generally speaking, the domain of existence of extreme waves is not yet fully established. There is also no generally accepted definition of what is anextreme wave.
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.
An Example of a Unified theory of Extreme Waves
Lagrangian Description of Surface Water Waves
Euler’s Figures and Extreme Waves: Examples, Equations, and Unified Solutions
Waves in Finite resonators
Generalization of d’Alembert’s Solution for Nonlinear Long Waves
Extreme Resonant Waves: A Quadratic Nonlinear Theory
Extreme Resonant Waves: A Cubic Nonlinear Theory
Spherical Resonant Waves
Extreme Faraday Waves
Extreme Ocean Waves and resonant Phenomena
Long Waves, Green’s Law and Topographical Resonance
Modeling of a Tsunami Described by Charles Darwin and Coastal Waves
Theory of Extreme (Rogue, Catastrophic) Ocean Waves
Wind-Induced Waves and Wind–Wave Resonance
Transresonant Evolution of Euler’s Figures into Vortices
Modeling of Particle–Waves, Slit Experiments, and the Extreme Waves in Scalar Fields
Resonances, Euler’s Figures, and Particle-Waves
Nonlinear Quantum Waves in the Light of Recent Slit Experiments