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Fusion and fission phenomena for the soliton interactions in a plasma

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Abstract.

Investigation in this paper is given to a generalized (3 + 1) -dimensional variable-coefficient Kadomtsev-Petviashvili equation for a plasma. Via the bilinear form, the singular and double Wronskian soliton solutions are derived, respectively, under the different variable-coefficient constraints. Interactions between the two solitons are depicted, where the soliton fusion and fission phenomena are respectively pictured out, both for the velocity-unvarying and velocity-varying two solitons. Soliton velocity is related to the variable coefficients h(t), l (t), q(t), m(t) and n(t), while the soliton amplitude is not affected by them, where h(t), l(t) and q(t) are the perturbed effects, m(t) and n(t) stand for the disturbed wave velocities along the transverse spatial coordinates.

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Authors and Affiliations

  1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, 100876, Beijing, China

    Jun Chai, Bo Tian, Xiao-Yu Wu & Lei Liu

Authors
  1. Jun Chai
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  2. Bo Tian
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  3. Xiao-Yu Wu
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  4. Lei Liu
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Chai, J., Tian, B., Wu, XY. et al. Fusion and fission phenomena for the soliton interactions in a plasma. Eur. Phys. J. Plus 132, 60 (2017). https://doi.org/10.1140/epjp/i2017-11302-7

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  • DOI: https://doi.org/10.1140/epjp/i2017-11302-7

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