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Solitons and Lie group analysis to an extended quantum Zakharov–Kuznetsov equation

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Abstract

In this paper, complete geometric symmetry of extended quantum Zakharov–Kuznetsov (QZK) equation are investigated. All of the geometric vector fields for the new extended QZK equation are presented. At the same time, a plethora of exact solutions are obtained by the application of the group theorem. In addition, 1-soliton solution of the extended QZK equation with power law nonlinearity is obtained by the aid of traveling wave hypothesis with the necessary constraints in place for the existence of the soliton.

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Acknowledgement

The project is supported by the National Natural Science Foundation of China (NNSFC) (Grant No. 11171022).

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Authors and Affiliations

  1. School of Mathematics, Beijing Institute of Technology, Beijing, 100081, P.R. China

    Gang-Wei Wang & Tian-Zhou Xu

  2. Department of Mathematical Sciences, Delaware State University, Dover, DE, 19901-2277, USA

    Stephen Johnson & Anjan Biswas

  3. Lake Forest High School, 5407 Killens Pond Road, Felton, DE, 19943, USA

    Stephen Johnson

  4. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

    Anjan Biswas

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  1. Gang-Wei Wang
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  2. Tian-Zhou Xu
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  3. Stephen Johnson
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  4. Anjan Biswas
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Correspondence to Gang-Wei Wang.

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Wang, GW., Xu, TZ., Johnson, S. et al. Solitons and Lie group analysis to an extended quantum Zakharov–Kuznetsov equation. Astrophys Space Sci 349, 317–327 (2014). https://doi.org/10.1007/s10509-013-1659-z

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  • DOI: https://doi.org/10.1007/s10509-013-1659-z

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