Collision of dust ion acoustic multisolitons in a non-extensive plasma using Hirota bilinear method

The collision of two, four, and six dust ion acoustic solitons (DIASs) in an unmagnetized non-
extensive plasma is studied. The dispersion characteristics are analyzed. Using the 
extended Poincaré-Lighthill-Kue method, two different Korteweg–de Vries (KdV) equations 
are derived for the colliding DIASs. The Hirota's direct bilinear method is applied to get the 
multisoliton solutions for the derived KdV equations. It is found that the non-extensive 
parameter for electrons plays a significant role in the collision process, in such a way that the 
amplitude of the solitons increases as the non-extensive parameter increases.