Kinetic Alfvénic cnoidal waves in Saturnian magnetospheric plasmas

2021 ◽  
pp. 1-14
Author(s):  
Manpreet Singh ◽  
Kuldeep Singh ◽  
N. S. Saini
Keyword(s):  
Cnoidal Waves

scholarly journals Fast magnetohydrodynamic cnoidal waves and solitons in electron-positron plasma

AIP Advances ◽  
2018 ◽  
Vol 8 (1) ◽  
pp. 015311 ◽  
Author(s):  
Hafeez Ur-Rehman ◽  
S. Mahmood ◽  
T. Kaladze ◽  
S. Hussain
Keyword(s):  
Cnoidal Waves ◽  
Electron Positron

Topological solitons, cnoidal waves and conservation laws of coupled wave equations

2013 ◽  
Vol 87 (12) ◽  
pp. 1233-1241 ◽  
Author(s):  
E. V. Krishnan ◽  
A. H. Kara ◽  
S. Kumar ◽  
A. Biswas
Keyword(s):  
Conservation Laws ◽  
Wave Equations ◽  
Cnoidal Waves ◽  
Topological Solitons ◽  
Coupled Wave Equations ◽  
Coupled Wave

scholarly journals Propagation dynamics of weakly localized cnoidal waves in dispersion-managed fiber: from stability to chaos

2003 ◽  
Vol 11 (26) ◽  
pp. 3574 ◽  
Author(s):  
N. Korneev ◽  
V. Vysloukh ◽  
E. Rodriguez
Keyword(s):  
Cnoidal Waves ◽  
Propagation Dynamics

Stability of periodic waves in shallow water

1974 ◽  
Vol 66 (1) ◽  
pp. 81-96 ◽  
Author(s):  
P. J. Bryant
Keyword(s):  
Shallow Water ◽  
Wave Train ◽  
Periodic Wave ◽  
Fundamental Wave ◽  
Cnoidal Waves ◽  
Margin Of Stability ◽  
Fundamental Wavelength ◽  
Stokes Waves ◽  
Wave Trains ◽  
Permanent Shape

Waves of small but finite amplitude in shallow water can occur as periodic wave trains of permanent shape in two known forms, either as Stokes waves for the shorter wavelengths or as cnoidal waves for the longer wavelengths. Calculations are made here of the periodic wave trains of permanent shape which span uniformly the range of increasing wavelength from Stokes waves to cnoidal waves and beyond. The present investigation is concerned with the stability of such permanent waves to periodic disturbances of greater or equal wavelength travelling in the same direction. The waves are found to be stable to infinitesimal and to small but finite disturbances of wavelength greater than the fundamental, the margin of stability decreasing either as the fundamental wave becomes more nonlinear (i.e. contains more harmonics), or as the wavelength of the periodic disturbance becomes large compared with the fundamental wavelength. The decreasing margin of stability is associated with an increasing loss of spatial periodicity of the wave train, to the extent that small but finite disturbances can cause a form of interaction between consecutive crests of the disturbed wave train. In such a case, a small but finite disturbance of wavelength n times the fundamental wavelength converts the wave train into n interacting wave trains. The amplitude of the disturbance subharmonic is then nearly periodic, the time scale being the time taken for repetitions of the pattern of interactions. When the disturbance is of the same wavelength as the permanent wave, the wave is found to be neutrally stable both to infinitesimal and to small but finite disturbances.

Electrostatic cnoidal waves and soliton structures in multi-ions plasmas

2018 ◽  
Vol 59 (2) ◽  
pp. 236-251 ◽  
Author(s):  
Hafeez Ur-Rehman ◽  
S. Mahmood
Keyword(s):  
Cnoidal Waves
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