Soliton solutions and interactions of the Zakharov-Kuznetsov equation in the electron-positron-ion plasmas |
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Authors: | Qi-Xing Qu Bo Tian Wen-Jun Liu Kun Sun Pan Wang Yan Jiang Bo Qin |
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Institution: | 1.School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications,Beijing,China;2.State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics,Beijing,China;3.Key Laboratory of Information Photonics and Optical Communications (BUPT), Ministry of Education, P.O. Box 128, Beijing University of Posts and Telecommunications,Beijing,China |
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Abstract: | Analytically investigated in this paper is the Zakharov-Kuznetsov
equation which describes the propagation of the electrostatic
excitations in the electron-positron-ion plasmas. By means of the
Hirota method and symbolic computation, the bilinear form for the
Zakharov-Kuznetsov equation is derived, and then the N-soliton
solution is constructed. Parametric analysis is carried out in order
to illustrate that the soliton amplitude and width are affected by
the phase velocity, ion-to-electron density ratio, rotation
frequency and cyclotron frequency. Propagation characteristics
and interaction behaviors of the solitons are also discussed through
the graphical analysis. The effects of the nonlinearity A,
dispersion B and disturbed wave velocity C on the amplitude and
velocity of the solitons are derived. First, the amplitude is
proportional to the nonlinearity A and inversely proportional to
dispersion B. Second, the velocity increases as the dispersion B
increases. Third, the velocity increases as the disturbed wave
velocity C (4B
>
C) increases; the velocity decreases as the
disturbed wave velocity C (4B
<
C) increases. |
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Keywords: | |
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