Korteweg-de Vries equation of ion acoustic surface waves

1999 ◽  
Vol 6 (8) ◽  
pp. 3422-3424 ◽  
Author(s):  
Hee Sook Hong ◽  
Hee J. Lee
Author(s):  
Anne de Bouard

We study the stability of positive radially symmetric solitary waves for a three dimensional generalisation of the Korteweg de Vries equation, which describes nonlinear ion-acoustic waves in a magnetised plasma, and for a generalisation in dimension two of the Benjamin–Bona–Mahony equation.


1974 ◽  
Vol 37 (6) ◽  
pp. 1631-1636 ◽  
Author(s):  
Kimiaki Konno ◽  
Yoshi H. Ichikawa

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 563-567 ◽  
Author(s):  
Jianyong Wang ◽  
Ying Zeng ◽  
Zufeng Liang ◽  
Yani Xu ◽  
Yuanxiang Zhang

Abstract In this work, we are concerned with the ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons. By using the reductive perturbation method, the Korteweg-de Vries equation is derived from the governing equations of ion acoustic waves. An interesting soliton-cnoidal wave solution of the Korteweg-de Vries equation and its quasi-soliton behaviour are presented. The influence of electron superthermality, positron superthermality and positron concentration ratio on characteristics of the quasi-soliton is confirmed to be significant.


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