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Construction of Solitary Two-Wave Solutions for a New Two-Mode Version of the Zakharov-Kuznetsov Equation

Author

Listed:
  • Imad Jaradat

    (Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan
    These authors contributed equally to this work.)

  • Marwan Alquran

    (Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan
    These authors contributed equally to this work.)

Abstract

A new two-mode version of the generalized Zakharov-Kuznetsov equation is derived using Korsunsky’s method. This dynamical model describes the propagation of two-wave solitons moving simultaneously in the same direction with mutual interaction that depends on an embedded phase-velocity parameter. Three different methods are used to obtain exact bell-shaped soliton solutions and singular soliton solutions to the proposed model. Two-dimensional and three-dimensional plots are also provided to illustrate the interaction dynamics of the obtained two-wave exact solutions upon increasing the phase-velocity parameter.

Suggested Citation

  • Imad Jaradat & Marwan Alquran, 2020. "Construction of Solitary Two-Wave Solutions for a New Two-Mode Version of the Zakharov-Kuznetsov Equation," Mathematics, MDPI, vol. 8(7), pages 1-10, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1127-:d:382673
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