Deep-Water Waves: on the Nonlinear Schrödinger Equation and its Solutions
Deep-Water Waves: on the Nonlinear Schrödinger Equation and its Solutions
We present a brief discussion on the nonlinear Schrödinger equation for modeling the propagation of the deep-water wavetrains and a discussion on its doubly-localized breather solutions that can be connected to the sudden formation of extreme waves, also known as rogue waves or freak waves.