Directional Soliton and Breather Beams

Abstract

Solitons and breathers are nonlinear modes that exist in a wide range of physical systems. They are fundamental solutions of a number of nonlinear wave evolution equations, including the uni-directional nonlinear Schrödinger equation (NLSE). We report the observation of slanted solitons and breathers propagating at an angle with respect to the direction of propagation of the wave field. As the coherence is diagonal, the scale in the crest direction becomes finite, consequently, a beam dynamics forms. Spatio-temporal measurements of the water surface elevation are obtained by stereo-reconstructing the positions of the floating markers placed on a regular lattice and recorded with two synchronized high-speed cameras. Experimental results, based on the predictions obtained from the (2D+1) hyperbolic NLSE equation, are in excellent agreement with the theory. Our study proves the existence of such unique and coherent wave packets and has serious implications for practical applications in optical sciences and physical oceanography. Moreover, unstable wave fields in this geometry may explain the formation of directional large amplitude rogue waves with a finite crest length within a wide range of nonlinear dispersive media, such as Bose-Einstein condensates, plasma, hydrodynamics and optics.

References in corpus (13)

• Solitons in nonlinear lattices
• Instabilities, breathers and rogue waves in optics
• Quantum liquid droplets in a mixture of Bose-Einstein condensates
• Self-bound quantum droplets in atomic mixtures
• Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
• Pure-Quartic Solitons
• Formation of matter-wave soliton trains by modulational instability
• Three-dimensional droplets of swirling superfluids
• Super rogue waves in simulations based on weakly nonlinear and fully nonlinear hydrodynamic equations
• Modulational instability, wave breaking and formation of large scale dipoles in the atmosphere
• Reduced-order prediction of rogue waves in two-dimensional deep-water waves
• A sequential sampling strategy for extreme event statistics in nonlinear dynamical systems
• Predicting the breaking strength of gravity water waves

Cited by in corpus (3)

• Rogue waves and analogies in optics and oceanography
• Transformation of envelope solitons on a bottom step
• Higher dimensional localized and periodic wave dynamics in a new integrable (2+1)-dimensional Kundu-Mukherjee-Naskar model