Head on collision of dust acoustic multi-solitons in a nonextensive plasma

Publication Issue: 
Volume 36, Issue 1, 2015
Page No: 
Date Received: 
Friday, October 30, 2015
Authors' Name: 
Kaushik Roy
Asit Saha
Prasanta Chatterjee
Chiow San Wong
Authors' Affiliation and Address: 
Beluti M. K. M. High School, P.O.-Beluti, Dist.: Birbhum, West Bengal, India
Department of Mathematics, Siksha Bhavana, Visva-Bharati University, Santiniketan, India
Plasma Technology Research Centre, Department of Physics, University of Malaya, Kuala Lumpur, Malaysia
The head-on collisions and overtaking collisions of dust acoustic multi-solitons in a dusty plasma with qnonextensive velocity distributed ions are studied applying the Extended Poincare-Lighthill-Kuo(EPLK) method and using the results of Hirota’s direct method. The EPLK method is used to derive two separate Korteweg-de Vries (KdV) equations where the solitons obtained from the KdV equation move along a direction opposite to that of solitons obtained from the other KdV equation. The Hirota’s direct method is used to obtain multisolitons solutions for each KdV equation, and all of them move along the same direction where the fastest moving soliton eventually overtakes the others. Due to face to face interaction we obtain here respectively two solitons collision, four solitons collision, six solitons collision. Phase shifts acquired by each soliton due to both head-on collision and overtaking collision are derived analytically. It is seen that the parameter q has a significant effect on the phase shift in each interactions.