Overtaking collisions of oblique isothermal ion-acoustic multisolitons in ultra-relativistic degenerate dense magnetoplasmas
Corresponding Author
E.F. El-Shamy
Department of Physics, College of Science, King Khalid University, Abha, Kingdom of Saudi Arabia
Department of physics, Faculty of Science, Damietta University, New Damietta, Egypt
Correspondence
E.F. El-Shamy, Department of Physics, College of Science, King Khalid University, P.O. 9004, Abha, Kingdom of Saudi Arabia.
Email: emadel_shamy@hotmail.com
Search for more papers by this authorM.M. Selim
Department of physics, Faculty of Science, Damietta University, New Damietta, Egypt
Search for more papers by this authorA. El-Depsy
Department of physics, Faculty of Science, Damietta University, New Damietta, Egypt
Search for more papers by this authorM.O. Abdellahi
Department of Physics, College of Science, King Khalid University, Abha, Kingdom of Saudi Arabia
Search for more papers by this authorO. Al-Hagan
Department of Physics, College of Science, King Khalid University, Abha, Kingdom of Saudi Arabia
Search for more papers by this authorA. Al-Mogeeth
Department of Physics, College of Science, King Khalid University, Abha, Kingdom of Saudi Arabia
Search for more papers by this authorL. Alelyani
York Plasma Institute, Department of Physics, University of York, York, UK
Search for more papers by this authorCorresponding Author
E.F. El-Shamy
Department of Physics, College of Science, King Khalid University, Abha, Kingdom of Saudi Arabia
Department of physics, Faculty of Science, Damietta University, New Damietta, Egypt
Correspondence
E.F. El-Shamy, Department of Physics, College of Science, King Khalid University, P.O. 9004, Abha, Kingdom of Saudi Arabia.
Email: emadel_shamy@hotmail.com
Search for more papers by this authorM.M. Selim
Department of physics, Faculty of Science, Damietta University, New Damietta, Egypt
Search for more papers by this authorA. El-Depsy
Department of physics, Faculty of Science, Damietta University, New Damietta, Egypt
Search for more papers by this authorM.O. Abdellahi
Department of Physics, College of Science, King Khalid University, Abha, Kingdom of Saudi Arabia
Search for more papers by this authorO. Al-Hagan
Department of Physics, College of Science, King Khalid University, Abha, Kingdom of Saudi Arabia
Search for more papers by this authorA. Al-Mogeeth
Department of Physics, College of Science, King Khalid University, Abha, Kingdom of Saudi Arabia
Search for more papers by this authorL. Alelyani
York Plasma Institute, Department of Physics, University of York, York, UK
Search for more papers by this authorAbstract
Overtaking collisions of oblique isothermal ion-acoustic multisolitons are studied in an ultra-relativistic degenerate dense magnetoplasma, containing non-degenerate inertial warm ions and ultra-relativistic degenerate inertialess electrons and positrons. A non-linear Korteweg-de Vries (KdV) equation describing oblique isothermal ion-acoustic solitons (OIIASs) in such a plasma model is derived. By applying Hirota's bilinear method (HBM), the overtaking collisions of oblique isothermal ion-acoustic multisoliton solutions are investigated. An in-depth discussion shows that the amplitude, the width, and the phase shift of isothermal ion-acoustic multisolitons increase as the obliqueness and the chemical potential of electrons increase. The deviation of the trajectories decreases with increasing concentration of fermions and the ion cyclotron frequency. The present finding of this study is applicable in compact objects, such as white dwarfs and neutron stars, having degenerate ultra-relativistic dense electrons and positrons.
REFERENCES
- 1L. Stenflo, P. K. Shukla, M. Marklund, Europhys. Lett. 2006, 74, 844.
- 2E. F. El-Shamy, W. M. Moslem, P. K. Shukla, Phys. Lett. A 2009, 374, 290.
- 3H. A. Shah, M. N. S. Qureshi, N. Tsintsadze, Plasma Phys. 2010, 17, 032312.
10.1063/1.3368831 Google Scholar
- 4B. Eliasson, P. K. Shukla, Europhys. Lett. 2012, 97, 15001.
10.1209/0295-5075/97/15001 Google Scholar
- 5M. M. Haider, A. A. Mamun, Phys. Plasmas 2012, 19, 102105.
- 6E. F. El-Shamy, Phys. Rev. E 2015, 91, 033105.
- 7A. E. Dubinov, A. A. Dubinova, Plasma Phys. Rep. 2007, 33, 859.
- 8A. A. Mamun, S. S. Duha, P. K. Shukla, J. Plasma Phys. 2011, 77, 617.
- 9A. Rasheed, G. Murtaza, N. L. Tsintsadze, Phys. Rev. E 2010, 82, 016403.
- 10S. Ali, A. Rahman, Phys. Plasmas 2014, 21, 042116.
- 11E. F. El-Shamy, R. C. Al-Chouikh, A. El-Depsy, N. S. Al-Wadie, Plasma Phys. 2016, 23, 122122.
10.1063/1.4972817 Google Scholar
- 12S. Hussain, N. Akhtar, Plasma Phys. 2018, 25, 062109.
10.1063/1.5025244 Google Scholar
- 13K. Singh, P. Sethi, N. S. Saini, Plasma Phys. 2019, 26, 092104.
10.1063/1.5098138 Google Scholar
- 14H. Soltani, T. Mohsenpour, F. Sohbatzadeh, Contrib. Plasma Phys. 2019, 59, e201900038.
- 15A. E. Dubinov, A. A. Dubinova, Plasma Phys. Rep. 2008, 34, 403.
- 16A. E. Dubinov, M. A. Sazonkin, Plasma Phys. Rep. 2009, 35, 14.
- 17A. E. Dubinov, A. A. Dubinova, M. A. Sazonkin, J. Commun. Technol. Electron. 2010, 55, 907.
- 18A. E. Dubinov, D. Y. Kolotkov, M. A. Sazonkin, Plasma Phys. Rep. 2011, 37, 64.
- 19A. E. Dubinov, I. N. Kitaev, Phys. Plasmas 2014, 21, 102105.
- 20B. M. Mladek, G. Kahl, M. Neumann, J. Chem. Phys. 2006, 124, 064503.
- 21F. Haas, M. Lazar, Phys. Rev. E 2008, 77, 046404.
- 22B. Eliasson, P. K. Shukla, Phys. Scr. 2008, 78, 025503.
- 23M. M. Rahman, M. S. Alam, A. A. Mamun, J. Korean, Phys. Soc. 2014, 64, 1828.
- 24C. S. Gardner, J. M. Greener, M. D. Kruskal, R. M. Miura, Phys. Rev. Lett. 1967, 19, 1095.
- 25R. Hirota, Phys. Rev. Lett. 1971, 27, 1192.
- 26G. Mandal, K. Roy, A. Paul, A. Saha, P. Chatterjee, Z. Naturforsch. A 2015, 70, 703.
- 27E. F. El-Shamy, M. Mahmoud, Plasma Phys. Rep. 2020, 46, 41.
- 28C. H. Su, R. M. Miura, J. Fluid Mech. 1980, 98, 509.
- 29G. X. Huang, M. G. Velarde, Phys. Rev. E 1996, 53, 2988.
- 30E. F. El-Shamy, Phys Plasmas. 2009, 16, 113704.
- 31S. Parveen, S. Mahmood, A. Qamar, S. Hussain, M. Adnan, Contrib. Plasma Phys. 2018, 58, 1015.
- 32E. F. El-Shamy, N. A. El-Bedwehy, M. Shokry, S. K. El-Labany, Z. Naturforsch. A 2018, 73, 893.
- 33S. Parveen, S. Mahmood, A. Qamar, M. Adnand, Adv. Space Res. 2019, 63, 1192.
- 34E. F. El-Shamy, E. K. El-Shewy, N. F. Abdo, M. Ould Abdellahi, O. Al-Hagan, Contrib. Plasma Phys. 2019, 59, 304.
- 35R. Hirota, J. Phys. Soc. Jpn. 1972, 33, 1456.
- 36R. Hirota, J. Math. Phys. 1973, 14, 805.
- 37R. Hirota, The Direct Method in the Soliton Theory, Cambridge University Press, Cambridge, UK 2004.
10.1017/CBO9780511543043 Google Scholar
- 38K. Roy, M. K. Ghorui, P. Chatterjee, M. Tribeche, Commun. Theor. Phys. 2016, 65, 237.
- 39J. P. Ostriker, Annu. Rev. Astron. Astrophys. 1971, 9, 353.
- 40E. F. El-Shamy, M. M. Selim, A. El-Depsy, M. O. Abdellahi, O. Al-Hagan, A. Al-Mogeeth, L. Alelyani, Plasma Phys. 2020, 27, 032101.
- 41P. K. Shukla, M. Y. Yu, J. Math. Phys. 1978, 19, 2506.
- 42H. Washimi, T. Taniuti, Phys. Rev. Lett. 1966, 17, 996.
- 43R. A. Cairns, A. A. Mamun, R. Bingham, P. K. Shukla, Phys. Scr. 1996, 63, 80.
- 44A. A. Mamun, P. K. Shukla, L. Stenflo, Phys. Plasmas 2002, 9, 1474.
- 45L. L. Yadav, V. K. Sayal, Phys. Plasmas 2009, 16, 113703.
- 46H. Alinejad, A. A. Mamun, Plasma Phys. 2011, 18, 112103.
10.1063/1.3656982 Google Scholar
- 47S. Parveen, S. Mahmood, M. Adnan, A. Qamar, J. Phys. Soc. Jpn. 2018, 87, 014502.
10.7566/JPSJ.87.014502 Google Scholar
- 48P. G. Drazin, R. S. Johnson, Solitons, An Introduction, Cambridge University Press, Cambridge UK 1993.
- 49D. Koester, G. Chanmugam, Rep. Prog. Phys. 1990, 53, 837.
- 50S. Ali, W. M. Moslem, P. K. Shukla, R. Schlickeiser, Plasma Phys. 2007, 14, 082307.
10.1063/1.2750649 Google Scholar
- 51A. Ur-Rahman, W. Masood, B. Eliasson, A. Qamar, Plasma Phys. 2013, 20, 092305.
10.1063/1.4821976 Google Scholar
- 52A. Ur-Rahman, I. Kourakis, A. Qamar, IEEE Trans. Plasma Sci 2015, 43, 974.
- 53S. A. Shan, Q. Haque, Plasma Phys. 2018, 25, 0121244.
- 54P. Harvey, C. Durniak, D. Samsonov, G. Morfill, Phys. Rev. E 2010, 81, 057401.