Evolution mechanism of solitary waves on the inviscid film flow under an electrostatic field

2018 ◽  
Vol 32 (6) ◽  
pp. 2659-2669
Author(s):  
Sunyoung Park ◽  
Gun Woo Kim ◽  
Gwang Hoon Rhee ◽  
Hyo Kim
2018 ◽  
Vol 33 (25) ◽  
pp. 1850145 ◽  
Author(s):  
Abdullah ◽  
Aly R. Seadawy ◽  
Jun Wang

Propagation of three-dimensional nonlinear solitary waves in a magnetized electron–positron plasma is analyzed. Modified extended mapping method is further modified and applied to three-dimensional nonlinear modified Zakharov–Kuznetsov equation to find traveling solitary wave solutions. As a result, electrostatic field potential, electric field, magnetic field and quantum statistical pressure are obtained with the aid of Mathematica. The new exact solitary wave solutions are obtained in different forms such as periodic, kink and anti-kink, dark soliton, bright soliton, bright and dark solitary waves, etc. The results are expressed in the forms of trigonometric, hyperbolic, rational and exponential functions. The electrostatic field potential and electric and magnetic fields are shown graphically. The soliton stability of these solitary wave solutions is analyzed. These results demonstrate the efficiency and precision of the method that can be applied to many other mathematical physical problems.


1992 ◽  
Vol 4 (10) ◽  
pp. 2117-2130 ◽  
Author(s):  
Hyo Kim ◽  
S. G. Bankoff ◽  
Michael J. Miksis

2018 ◽  
Vol 84 (4) ◽  
Author(s):  
T. Kamalam ◽  
S. V. Steffy ◽  
S. S. Ghosh

An electron acoustic super solitary wave has been derived using the Sagdeev pseudopotential technique for a four component magnetized plasma consisting of the beam and bulk fluid electrons and two ions with Maxwell Boltzmann distributions. This is the first theoretical report of a super solitary wave in a magnetized plasma which has no direct association with the singularity of the pseudopotential. It shows a narrow and spiky subwell near the low potential which causes the lateral inversion of the wiggle for the bipolar electric field vis-á-vis the unmagnetized plasma. An analytical formalism was developed to identify these novel kinds of super solitary waves and their transition processes have been characterized. It was observed that the super solitary wave is directly influenced by the singularity of the pseudopotential lying in the vicinity of the solution. The first ever prediction of the electron acoustic super solitary wave raises the possibility of its application to the interpretation of the satellite observations of the electrostatic field data.


1998 ◽  
Vol 77 (5) ◽  
pp. 1575-1583
Author(s):  
David Horn, Irit Opher

2020 ◽  
Vol 140 (12) ◽  
pp. 599-600
Author(s):  
Kento Kato ◽  
Ken Kawamata ◽  
Shinobu Ishigami ◽  
Ryuji Osawa ◽  
Takeshi Ishida ◽  
...  

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