Deterministic Vector Freak Waves

2012/04/06 by Fabio Baronio, Antonio Degasperis, Matteo Conforti +1 · 2 citations
Physics and Astronomy · #nlin.SI #nlin.PS #physics.optics

paper · pdf · doi:10.1103/physrevlett.109.044102

published as PRL 109, 044102 (2012)

arxiv created 2012/04/06 · arxiv updated 2013/08/09

Abstract

We construct and discuss a semi-rational, multi-parametric vector solution of coupled nonlinear Schrödinger equations (Manakov system). This family of solutions includes known vector Peregrine solutions, bright-dark-rogue solutions, and novel vector unusual freak waves. The vector freak (or rogue) waves could be of great interest in a variety of complex systems, from optics to Bose-Einstein condensates and finance.

Cited by

• Exploration of Higher-order Nondegenerate Soliton solutions for Manakov model via Gram-determinant Darboux transformation
• Controllable excitation of vector Akhmediev breather patterns

Related

• Dynamics of rogue waves on a multi-soliton background in a vector nonlinear Schrodinger equation
• High-order Rogue Waves in Vector Nonlinear Schrödinger Equations
• Rogue waves in a two-component Manakov system with variable coefficients and an external potential
• Generalized Darboux transformation and higher-order rogue wave solutions to the Manakov system
• High-order Rogue Wave solutions for the Coupled Nonlinear Schrödinger Equations-II