2014/04/30 by Ángel Paredes, David Feijoo, Humberto Michinel · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Amplitude #Cavitation #Classical mechanics #Mechanics #Nonlinear Photonic Systems #Nonlinear Schrödinger equation #Nonlinear Waves and Solitons #Nonlinear system #Optics #Phase (matter) #Physics #Pulse (music) #Quantum electrodynamics #Quantum mechanics #Quintic function #Rarefaction (ecology) #Soliton #Transverse plane #physics.optics
paper · pdf · doi:10.1103/physrevlett.112.173901
published as Physical Review Letters 112, 173901 (2014)
openalex publication_date 2014/04/30 · arxiv created 2016/05/09 · arxiv updated 2016/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the cubic- (focusing-)quintic (defocusing) nonlinear Schrödinger equation in two transverse dimensions. We discuss a family of stationary traveling waves, including rarefaction pulses and vortex-antivortex pairs, in a background of critical amplitude. We show that these rarefaction pulses can be generated inside a flattop soliton when a smaller bright soliton collides with it. The fate of the evolution strongly depends on the relative phase of the solitons. Among several possibilities, we find that the dark pulse can reemerge as a bright soliton.