A hidden life of Peregrine's soliton: Rouge waves in the oceanic depths

作者：Yurova Alla^*

来源：International Journal of Geometric Methods in Modern Physics, 2014, 11(6): 1450057.

DOI：10.1142/S0219887814500571

• Nonlinear Schrodinger equation
• Darboux transformation
• Peregrine solitons
• intrathermocline eddies
• ocean lenses
• vortex filament

Although the Peregrine-type solutions of the nonlinear Schrodinger (NLS) equation have long been associated mainly with the infamous "rouge waves" on the surface of the ocean, they might have a much more interesting role in the oceanic depths; in this paper we show that these solutions play an important role in the evolution of the intrathermocline eddies, also known as the "oceanic lenses". In particular, we show that the collapse of a lens is determined by the particular generalization of the Peregrine soliton - the so-called exultons - of the NLS equation. In addition, we introduce a new mathematical method of construction of a vortical filament (a frontal zone of a lens) from a known one by the Darboux transformation.

• 出版日期2014-7