Details

Autor(en) / Beteiligte

• Chabchoub, A.
• Kibler, B.
• Finot, C.
• Millot, G.
• Onorato, M.
• Dudley, J.M.
• Babanin, A.V.

Titel

The nonlinear Schrödinger equation and the propagation of weakly nonlinear waves in optical fibers and on the water surface

Ist Teil von

• Annals of physics, 2015-10, Vol.361, p.490-500

Ort / Verlag

New York: Elsevier Inc

Erscheinungsjahr

2015

Quelle

Access via ScienceDirect (Elsevier)

Beschreibungen/Notizen

• The dynamics of waves in weakly nonlinear dispersive media can be described by the nonlinear Schrödinger equation (NLSE). An important feature of the equation is that it can be derived in a number of different physical contexts; therefore, analogies between different fields, such as for example fiber optics, water waves, plasma waves and Bose–Einstein condensates, can be established. Here, we investigate the similarities between wave propagation in optical Kerr media and water waves. In particular, we discuss the modulation instability (MI) in both media. In analogy to the water wave problem, we derive for Kerr-media the Benjamin–Feir index, i.e. a nondimensional parameter related to the probability of formation of rogue waves in incoherent wave trains.