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Painlevé integrability and N-soliton solution for the variable-coefficient Zakharov–Kuznetsov equation from plasmas

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Abstract

With the help of symbolic computation, this paper investigates the variable-coefficient Zakharov–Kuznetsov equation which governs the two-dimensional ion-acoustic waves obliquely propagating in an inhomogeneous magnetized two-ion-temperature dusty plasma. The integrability of this model is examined through the Painlevé analysis. Via the Hirota method, the bilinear form of such model is derived. Based on the obtained bilinear form, the N-soliton solution is constructed. Propagation characteristics and interaction behaviors of the solitons are discussed through the graphical analysis.

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Authors and Affiliations

  1. School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing, 100876, China

    Qi-Xing Qu, Bo Tian, Wen-Jun Liu, Min Li & Kun Sun

  2. State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing, 100191, China

    Bo Tian

  3. Key Laboratory of Information Photonics and Optical Communications, Ministry of Education, Beijing University of Posts and Telecommunications, P.O. Box 128, Beijing, 100876, China

    Bo Tian

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  1. Qi-Xing Qu
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  2. Bo Tian
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Correspondence to Bo Tian.

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Qu, QX., Tian, B., Liu, WJ. et al. Painlevé integrability and N-soliton solution for the variable-coefficient Zakharov–Kuznetsov equation from plasmas. Nonlinear Dyn 62, 229–235 (2010). https://doi.org/10.1007/s11071-010-9713-7

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  • DOI: https://doi.org/10.1007/s11071-010-9713-7

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