Scientists discover new water waves

Scientists discover new water waves: By precisely shaking a container of shallow water, researchers have observed wave behavior that has never been seen before. In a new study, Jean Rajchenbach, Alphonse Leroux, and Didier Clamond of the University of Nice-Sophia Antipolis in Nice, France, have reported the observation of two new types of standing waves in water, one of which has never been observed before in any media...
“These waves are both strongly localized, and stationary,” Rajchenbach told PhysOrg.com. “Until now, two main classes of water solitary waves had been described: propagative solitons (the famous 'Korteweg de Vries’) and envelope solitons (described by the nonlinear Schrodinger Equation), consisting of a large wave packet enveloping a large number of arches of 'carrier' waves. The observed waves belong to a different category of solitary waves.”

Ship in Bottle, Meet Rogue Wave in Tub - ScienceNOW

Ship in Bottle, Meet Rogue Wave in Tub - ScienceNOW: That equation has several weird solutions, including one with the basic properties of a rogue wave. Discovered in 1983, the so-called Peregrine solution consists of a single peak that suddenly emerges out of a smoothly varying wave train (a so-called sine wave) by sucking energy out of it, zipping along for a while, and then disappearing back into the sine wave. In October 2010, experimenters produced an optical version of that wave with light.

Now, mathematician Amin Chabchoub and physicist Norbert Hoffmann at the Hamburg University of Technology in Germany and physicist Nail Akhmediev of Australian National University in Canberra have produced a Peregrine rogue wave in a water tank 15 meters long, 1.6 meters wide, and filled to a depth of 1 meter.

Peregrine's 'Soliton' observed at last

Peregrine's 'Soliton' observed at last: "The Peregrine 'Soliton', discovered over 25 years ago by the late Howell Peregrine (1938-2007), an internationally renowned Professor of Applied Mathematics formerly based at the University of Bristol, is a localised solution to a complex partial differential equation known as the nonlinear Schrodinger equation (NLSE).
The Peregrine solution is of great physical significance because its intense localisation has led it to be proposed as a prototype of ocean rogue waves and also represents a special mathematical limit of a wide class of periodic solutions to the NLSE.�"