Matter rogue waves for the three-component Gross–Pitaevskii equations in the spinor Bose–Einstein condensates

DOI10.1098/rspa.2017.0276zbMath1402.76165OpenAlexW2782504665WikidataQ87765607 ScholiaQ87765607MaRDI QIDQ4556879

Lei Wang, Wen-Rong Sun

Publication date: 28 November 2018

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2017.0276

zbMATH Keywords

three-component Gross-Pitaevskii equationsDarboux-dressing transformation\(F=1\) spinor Bose-Einstein condensatematter rogue waves

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) PDEs in connection with statistical mechanics (35Q82)

Related Items (13)

Solitons, breathers and rogue waves for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensates ⋮ Provable bounds for the Korteweg–de Vries reduction in multi-component nonlinear Schrödinger equation ⋮ Quasi-periodic waves and irregular solitary waves of the AB system ⋮ Higher-order matter rogue waves and their deformations in two-component Bose–Einstein condensates ⋮ Baseband modulational instability and dynamics of rogue waves in coherently coupled Bose-Einstein condensates ⋮ Lax pair, binary Darboux transformations and dark-soliton interaction of a fifth-order defocusing nonlinear Schrödinger equation for the attosecond pulses in the optical fiber communication ⋮ Dynamics of breathers and rogue waves in scalar and multicomponent nonlinear systems ⋮ Bright matter-wave bound soliton molecules in spin-1 Bose-Einstein condensates with non-autonomous nonlinearities ⋮ High-dimensional nonlinear wave transitions and their mechanisms ⋮ Asymmetrical, rotational and ultra-high amplitude fundamental polarized optical rogue waves associated with the coherent coupling ⋮ Characteristics of the lumps and stripe solitons with interaction phenomena in the \((2 + 1)\)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation ⋮ Solitary and rogue waves with controllable backgrounds for the non-autonomous generalized \(AB\) system ⋮ PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background

Cites Work

• Unnamed Item
• Breather interactions and higher-order nonautonomous rogue waves for the inhomogeneous nonlinear Schrödinger Maxwell-Bloch equations
• What makes the Peregrine soliton so special as a prototype of freak waves?
• Dynamics of nonautonomous rogue waves in Bose-Einstein condensate
• Dynamics of the higher-order rogue waves for a generalized mixed nonlinear Schrödinger model
• Higher-order semirational solutions and nonlinear wave interactions for a derivative nonlinear Schrödinger equation
• Water waves, nonlinear Schrödinger equations and their solutions
• Multicomponent integrable wave equations: I. Darboux-dressing transformation
• Multicomponent integrable wave equations: II. Soliton solutions
• Superregular breathers in a complex modified Korteweg-de Vries system
• Superregular breathers, characteristics of nonlinear stage of modulation instability induced by higher-order effects
• Rogue wave management in an inhomogeneous Nonlinear Fibre with higher order effects
• Vector rogue waves in the Manakov system: diversity and compossibility
• Moving breathers and breather-to-soliton conversions for the Hirota equation
• The disintegration of wave trains on deep water Part 1. Theory

This page was built for publication: Matter rogue waves for the three-component Gross–Pitaevskii equations in the spinor Bose–Einstein condensates