1. Airy-type bichromatic wave pulses on the sea surface and generation of rogue waves.
- Author
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Shugan, I. and Chen, Y. Y.
- Subjects
- *
WAVE packets , *NONLINEAR Schrodinger equation , *SPREADING cortical depression , *THEORY of wave motion , *ROGUE waves , *OCEAN waves , *WATER depth - Abstract
We present a theoretical study of bichromatic weakly non-collinear Airy-type waves propagating with various amplitudes in water of infinite depth. The coupled nonlinear Schrödinger equations are invoked to study the behavior of self- and cross-interacting Airy wave packets. We demonstrate that bichromatic pulses possess the main properties of single Airy wave packets—shape invariance and self-acceleration or self-deceleration—when propagating in a dispersive medium. Accounting for nonlinearity leads to a strong dependence of the structure, stability, and propagation velocity of wave pulses on their amplitude. We show that interacting pulses of Airy-type waves can form giant accelerating and decelerating waves. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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