Propagation and oblique collision of electrostatic solitary waves in quantum pair-plasmas

2010 ◽  
Vol 17 (8) ◽  
pp. 082317 ◽  
Author(s):  
M. Akbari-Moghanjoughi
Keyword(s):  
Solitary Waves ◽  
Oblique Collision

Laboratory experiments on counter-propagating collisions of solitary waves. Part 1. Wave interactions

2014 ◽  
Vol 749 ◽  
pp. 577-596 ◽  
Author(s):  
Yongshuai Chen ◽  
Harry Yeh
Keyword(s):  
Solitary Waves ◽  
Water Surface ◽  
Laboratory Experiments ◽  
Wave Amplitude ◽  
Relative Reduction ◽  
Wave Interactions ◽  
Oblique Collision ◽  
Laboratory Results ◽  
Surface Profiles ◽  
Good Agreement

AbstractCollisions of counter-propagating solitary waves are investigated experimentally. Precision measurements of water-surface profiles are made with the use of the laser induced fluorescence (LIF) technique. During the collision, the maximum wave amplitude exceeds that calculated by the superposition of the incident solitary waves, and agrees well with both the asymptotic prediction of Su & Mirie (J. Fluid Mech., vol. 98, 1980, pp. 509–525) and the numerical simulation of Craig et al. (Phys. Fluids, vol. 18, 2006, 057106). The collision causes attenuation in wave amplitude: the larger the wave, the greater the relative reduction in amplitude. The collision also leaves imprints on the interacting waves with phase shifts and small dispersive trailing waves. Maxworthy’s (J. Fluid Mech., vol. 76, 1976, pp. 177–185) experimental results show that the phase shift is independent of incident wave amplitude. On the contrary, our laboratory results exhibit the dependence of wave amplitude that is in support of Su & Mirie’s theory. Though the dispersive trailing waves are very small and transient, the measured amplitude and wavelength are in good agreement with Su & Mirie’s theory. Furthermore, we investigate the symmetric head-on collision of the highest waves possible in our laboratory. Our laboratory results show that the runup and rundown of the collision are not simple reversible processes. The rundown motion causes penetration of the water surface below the still-water level. This penetration causes the post-collision waveform to be asymmetric, with each departing wave tilting slightly backward with respect to the direction of its propagation; the penetration is also the origin of the secondary dispersive trailing wavetrain. The present work extends the studies of head-on collisions to oblique collisions. The theory of Su & Mirie, which was developed only for head-on collisions, predicts well in oblique collision cases, which suggests that the obliqueness of the collision may not be important for this ‘weak’ interaction process.

scholarly journals The collisions of two ion acoustic solitary waves in a magnetized nonextensive plasma

Open Physics ◽  
2014 ◽  
Vol 12 (11) ◽  
Author(s):  
Emad El-Shamy ◽  
Mouloud Tribeche ◽  
Wael El-Taibany
Keyword(s):  
Solitary Waves ◽  
Negative Ions ◽  
Phase Shifts ◽  
Magnetized Plasma ◽  
Nonextensive Electrons ◽  
Oblique Collision ◽  
Multicomponent Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Analytical Phase

AbstractUsing the extended Poincaré-Lighthill-Kuo (EPLK) method, the interaction between two ion acoustic solitary waves (IASWs) in a multicomponent magnetized plasma (including Tsallis nonextensive electrons) has been theoretically investigated. The analytical phase shifts of the two solitary waves after interaction are estimated. The proposed model leads to rarefactive solitons only. The effects of colliding angle, ratio of number densities of (positive/negative) ions species to the density of nonextensive electrons, ion-to-electron temperature ratio, mass ratio of the negative-to-positive ions and the electron nonextensive parameter on the phase shifts are investigated numerically. The present results show that these parameters have strong effects on the phase shifts and trajectories of the two IASWs after collision. Evidently, this model is helpful for interpreting the propagation and the oblique collision of IASWs in magnetized multicomponent plasma experiments and space observations.

Solitary waves on manifolds of integrate-and-fire neurons

1998 ◽  
Vol 77 (5) ◽  
pp. 1575-1583
Author(s):  
David Horn, Irit Opher
Keyword(s):  
Solitary Waves ◽  
Integrate And Fire
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