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The Nonlinear Dynamics of Rogue Waves and Holes in Deep-water Gravity Wave Trains by Alfred R Osborne; Miguel Onorato; Marina Serio is a Physics and Astronomy article available to read on EtoBox.

What is The Nonlinear Dynamics of Rogue Waves and Holes in Deep-water Gravity Wave Trains about?

Rogue waÕes are rare AgiantB, AfreakB, AmonsterB or Asteep waveB events in nonlinear deep water gravity waves which occasionally rise up to surprising heights above the background wave field. Holes are deep troughs which occur before andror after the largest rogue crests. The dynamical behavior of these giant waves is here addressed as solutions of the nonlinear Schrodinger equation in both 1 q 1 and 2 q 1 dimensions. We discuss analytical results for 1 q 1 dimensions and demonstrate numerically, for certain sets of initial conditions, the ubiquitous occurrence of rogue waves and holes in 2 q 1 spatial dimensions. A typical wave field evidently consists of a background of stable waÕe modes punctuated by the intermittent upthrusting of unstable rogue waÕes.

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Author

Alfred R Osborne; Miguel Onorato; Marina Serio

Publisher

Elsevier BV

Published

2000

Language

EN

Field

Physics and Astronomy (Physical Sciences)