Two-dimensional periodic waves in a supersonic flow of a Bose-Einstein condensate

Abstract

Stationary periodic solutions of the two-dimensional Gross-Pitaevskii equation are obtained and analyzed for different parameter values in the context of the problem of a supersonic flow of a Bose-Einstein condensate past an obstacle. The asymptotic connections with the corresponding periodic solutions of the Korteweg-de Vries and nonlinear Schrödinger equations are studied and typical spatial wave distributions are discussed.

11 pages, no figures

References in corpus (5)

• On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
• Oblique dark solitons in supersonic flow of a Bose-Einstein condensate
• Dissipationless shock waves in repulsive Bose-Einstein condensates
• Formation of shock waves in a Bose-Einstein condensate
• Spatial dispersive shock waves generated in supersonic flow of Bose-Einstein condensate past slender body

Cited by in corpus (12)

• Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
• Dispersive shock waves and modulation theory
• Wave patterns generated by a supersonic moving body in a binary Bose-Einstein condensate
• Linear "ship waves" generated in stationary flow of a Bose-Einstein condensate past an obstacle
• Two-dimensional supersonic nonlinear Schrödinger flow past an extended obstacle
• Dynamical quantum Cherenkov transition of fast impurities in quantum liquids
• Stationary wave patterns generated by an impurity moving with supersonic velocity through a Bose-Einstein condensate
• Oblique spatial dispersive shock waves in nonlinear Schrödinger flows
• Generation of linear waves in the flow of Bose-Einstein condensate past an obstacle
• Frictionless flow in a binary polariton superfluid
• Interaction of oblique dark solitons in two-dimensional supersonic nonlinear Schrödinger flow
• Fate of the "vacuum point'' and of grey solitons in dispersive quantum shock waves in a one-dimensional Bose gas