Formation of dispersive shock waves in evolution of a two-temperature collisionless plasma
arXiv:2010.03682 · doi:10.1063/5.0033455
Abstract
The nonlinear dynamics of pulses in a two-temperature collisionless plasma with formation of dispersion shock waves is studied. An analytical description is given for arbitrary form of an initial disturbance with smooth enough density profile on a uniform density background. For large time after the wave breaking moment dispersive shock waves are formed. Motion of their edges is studied in framework of Gurevich-Pitaevskii theory and Whitham theory of modulations. The analytical results are compared with numerical solution.
arXiv comment14 pages, 13 figures
References in corpus (21)
- Observation of Quantum Shock Waves Created with Ultra Compressed Slow Light Pulses in a Bose-Einstein Condensate
- Dispersive shock waves and modulation theory
- Dispersive, superfluid-like shock waves in nonlinear optics
- On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
- Resolution of a shock in hyperbolic systems modified by weak dispersion
- Dissipationless shock waves in repulsive Bose-Einstein condensates
- The theory of optical dispersive shock waves in photorefractive media
- Dispersive dam-break flow of a photon fluid
- Observations on Sound Propagation in Rapidly Rotating Bose-Einstein Condensates
- Asymptotic description of solitary wave trains in fully nonlinear shallow-water theory
- Dispersive shock waves theory for non-integrable equations
- Dissipative shock waves generated by a quantum-mechanical piston
- Dust ion-acoustic shocks in quantum dusty pair-ion plasmas
- Wave breaking and formation of dispersive shock waves in a defocusing nonlinear optical material
- Observation of Self-Cavitating Envelope Dispersive Shock Waves in Yttrium Iron Garnet Thin Films
- Theory of quasi-simple dispersive shock waves and number of solitons evolved from a nonlinear pulse
- Evolution of wave pulses in fully nonlinear shallow-water theory
- Collision of rarefaction waves in Bose-Einstein condensates
- Formation of dispersive shock waves in a saturable nonlinear medium
- Dispersionless evolution of inviscid nonlinear pulses
- Short-distance propagation of nonlinear optical pulses