Abstract
We investigate the face-to-face collision between multisolitons in spin-1/2 quantum plasma. It is studied in the framework of the model proposed by Marklund et al in Phys. Rev. E 76, 067401 (2007). This study is done with the help of the extended Poincare–Lighthill–Kno (PLK) method. The extended PLK method is also used to obtain two Korteweg–de Vries (KdV) equations and the phase shifts and trajectories during the head-on collision of multisolitons. The collision-induced phase shifts (trajectory changes) are also obtained. The effects of the Zeeman energy, total mass density of the charged plasma particles, speed of the wave and the ratio of the sound speed to Alfvén speed on the phase shifts are studied. It is observed that the phase shifts are significantly affected by all these parameters.
Similar content being viewed by others
References
K Roy, A P Mishra and P Chatterjee, Phys. Plasmas 15, 032310 (2008)
P Chatterjee, K Roy, S V Muniandy and C S Wong, Phys. Plasmas 16, 112106 (2009)
P Chatterjee, K Roy, Ganesh Mondal, S V Muniandy, S L Yap and C S Wong, Phys. Plasmas 16, 122112 (2009)
K Roy and P Chatterjee, Indian J. Phys. 85, 1653 (2011)
F Haas, G Manfredi and M R Feix, Phys. Rev. E 62, 2763 (2000)
F Haas, L G Garcia, J Goedert and G Manfredi, Phys. Plasmas 10, 3858 (2003)
P Chatterjee, K Roy, S V Muniandy, S L Yap and C S Wong, Phys. Plasmas 16, 042311 (2009)
L G Garcia, F Haas, L P L de Oliviera and J Goedert, Phys. Plasmas 12, 012302 (2005)
M Marklund, Phys. Plasmas 12, 082110 (2005)
M Marklund and P K Shukla, Rev. Mod. Phys. 78, 591 (2006)
P K Shukla and B Eliasson, Phys. Rev. Lett. 96, 245001 (2006)
P A Markowich, C A Ringhofer and C Schmeiser, Semiconductor equations (Springer, Vienna, 1990)
K H Becker, K H Schoenbach and J G Eden, J. Phys. D 39, R55 (2006)
Y I Salamin, S X Hu, K Z Hatsagortsyan and C H Keitel, Phys. Rep. 427, 41 (2006)
M Marklund and G Brodin, Phys. Rev. Lett. 98, 025001 (2007)
G Brodin and M Marklun, New J. Phys. 9, 277 (2007)
A P Misra, Phys. Plasmas 14, 064501 (2007)
M Marklund, B Eliason and P K Shukla, Phys. Rev. E 76, 067401 (2007)
G Brodin and M Marklund, New J. Phys. 10, 115031 (2008)
G Brodin, M Marklund and G Manfredi, Phys. Rev. Lett. 100, 175001 (2008)
G Brodin and M Marklund, Phys. Rev. Lett. 98, 025001 (2007)
M G Baring and A K Harding, Astrophys. J. 547, 929 (2001)
S Li and J Han, Phys. Plasmas 21, 032105 (2014)
F Asenjo, V Munoz, J A Valdivia and S M Mahajan, Phys. Plasmas 18, 012107 (2011)
P Chatterjee, R Roychoudhury and M K Ghorui, J. Plasma Phys. 79, 305 (2013)
B V Fine, T A Elsayed, C M Kropf and A S De Wijn, Phys. Rev. E 89, 012923 (2014)
B Sahu, A Sinha, R Roychoudhury and M Khan, Phys. Plasmas 20, 112303 (2013)
N J Zabusky and M D Kruskal, Phys. Rev. Lett. 15, 240 (1965)
U N Ghosh, K Roy and P Chatterjee, Phys. Plasmas 18, 103703 (2011)
E F El-Shamy, W M Moslem and P K Shukla, Phys. Lett. A 374, 290 (2009)
E F El-Shamy, R Sabry, W M Moslem and P K Shukla, Phys. Plasmas 17, 082311 (2010)
M Akbari-Moghanjoughi, Phys. Plasmas 17, 072101 (2010)
P Chatterjee and U N Ghosh, Eur. Phys. J. D 64, 413 (2011)
P Chatterjee, U N Ghosh, K Roy, S V Muniandy, C S Wong and B Sahu, Phys. Plasmas 17, 122314 (2010)
S K El-Labany, E F El-Shamy, W F El-Taibany and P K Shukla, Phys. Lett. A 374, 960964 (2010)
H J Ning, L J Hua, S G Hua, L Z Lai and L S Yi, Chin. Phys. B 20(2), 025202 (2011)
Y X Xu, Z M Liu, M M Lin and J R Shi, Chin. Phys. Plasmas 18, 052301 (2011)
K Roy, T K Maji, M K Ghorui, P Chatterjee and R Roychoudhury, Astrophys. Space Sci. 352, 151 (2014)
K Roy, P Chatterjee and R Roychoudhury, Phys. Plasmas 21, 104509 (2014)
W M Moslem, S Ali, P K Shukla, X Y Tang and G Rowlands, Phys. Plasmas 14, 082308 (2007)
R Hirota, The direct method in the soliton theory (Cambridge University Press, Cambridge, 2004)
Acknowledgements
The authors are grateful to the referee and former Prof. Rajkumar Roychoudhury, ISI, Kolkata, India for helpful suggestions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
ROY, K., CHOUDHURY, S., CHATTERJEE, P. et al. Face-to-face interaction of multisolitons in spin-1/2 quantum plasma. Pramana - J Phys 88, 18 (2017). https://doi.org/10.1007/s12043-016-1313-8
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12043-016-1313-8