Exact solution of CKP equation and formation and interaction of two solitons in pairionelectron plasma
Abstract
In the present investigation, cylindrical KadomstevPetviashvili (CKP) equation is derived in pairionelectron plasmas to study the propagation and interaction of two solitons. Using a novel gauge transformation, two soliton solutions of CKP equation are found analytically by using Hirota's method and to the best of our knowledge have been used in plasma physics for the first time. Interestingly, it is observed that unlike the planar KadomstevPetviashvili (KP) equation, the CKP equation admits horseshoelike solitary structures. Another nontrivial feature of CKP solitary solution is that the interaction parameter gets modified by the plasma parameters contrary to the one obtained for Korteweg–de Vries equation. The importance of the present investigation to understand the formation and interaction of solitons in laboratory produced pair plasmas is also highlighted.
 Authors:
 Theoretical Plasma Physics Group, Department of Physics, QuaidiAzam University, Islamabad 45320 (Pakistan)
 (NCP), QuaidiAzam University Campus, Islamabad (Pakistan)
 National Center of Physics (NCP), QuaidiAzam University Campus, Islamabad (Pakistan)
 (Pakistan)
 Publication Date:
 OSTI Identifier:
 22599911
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CYLINDRICAL CONFIGURATION; ELECTRON PLASMA WAVES; EXACT SOLUTIONS; GAUGE INVARIANCE; INTERACTIONS; ION PLASMA WAVES; KORTEWEGDE VRIES EQUATION; PLASMA
Citation Formats
Batool, Nazia, Jahangir, R., National Center of Physics, Masood, W., COMSATS Institute of Information Technology, Islamabad, and Siddiq, M.. Exact solution of CKP equation and formation and interaction of two solitons in pairionelectron plasma. United States: N. p., 2016.
Web. doi:10.1063/1.4960563.
Batool, Nazia, Jahangir, R., National Center of Physics, Masood, W., COMSATS Institute of Information Technology, Islamabad, & Siddiq, M.. Exact solution of CKP equation and formation and interaction of two solitons in pairionelectron plasma. United States. doi:10.1063/1.4960563.
Batool, Nazia, Jahangir, R., National Center of Physics, Masood, W., COMSATS Institute of Information Technology, Islamabad, and Siddiq, M.. 2016.
"Exact solution of CKP equation and formation and interaction of two solitons in pairionelectron plasma". United States.
doi:10.1063/1.4960563.
@article{osti_22599911,
title = {Exact solution of CKP equation and formation and interaction of two solitons in pairionelectron plasma},
author = {Batool, Nazia and Jahangir, R. and National Center of Physics and Masood, W. and COMSATS Institute of Information Technology, Islamabad and Siddiq, M.},
abstractNote = {In the present investigation, cylindrical KadomstevPetviashvili (CKP) equation is derived in pairionelectron plasmas to study the propagation and interaction of two solitons. Using a novel gauge transformation, two soliton solutions of CKP equation are found analytically by using Hirota's method and to the best of our knowledge have been used in plasma physics for the first time. Interestingly, it is observed that unlike the planar KadomstevPetviashvili (KP) equation, the CKP equation admits horseshoelike solitary structures. Another nontrivial feature of CKP solitary solution is that the interaction parameter gets modified by the plasma parameters contrary to the one obtained for Korteweg–de Vries equation. The importance of the present investigation to understand the formation and interaction of solitons in laboratory produced pair plasmas is also highlighted.},
doi = {10.1063/1.4960563},
journal = {Physics of Plasmas},
number = 8,
volume = 23,
place = {United States},
year = 2016,
month = 8
}

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