Kadomstev, B.B and Petviashvilli, V.I. (1970) On the Stability of Solitary Waves in Weakly Dispersing Media. Soviet Physics Doklady, 15, 539.

has been cited by the following article:

• TITLE: Kadomstev-Petviashvilli-Burgers (KPB) Equation in a Five Component Cometary Plasma with Kappa Described Electrons and Ions

  AUTHORS: Manesh Michael, Sreekala Gopinathan, Sijo Sebastian, Neethu T. Willington, Anu Varghese, Renuka Gangadharan, Chandu Venugopal

  KEYWORDS: Cometary Multi-Ion Plasma, Ion-Acoustic Solitary Wave, Shock Wave, KPB Equation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.11, November 24, 2015

  ABSTRACT: We investigate the existence of Ion-Acoustic solitary/shock waves in a five component cometary plasma consisting of positively and negatively charged oxygen ions, kappa described hydrogen ions, hot electrons and cold electrons. The KPB equation is derived for the system; its solution is plotted for different kappa values, as well as for the temperature ratios of ions. It is found that the amplitude of solitary structure increases with increasing kappa values and negatively charged oxygen ion densities. As the temperature of the positively charged oxygen ions increases, the amplitude of solitary wave also increases. We have also studied the dependence of coefficients of the KPB equation on physical parameters relevant to comet Halley.