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A numerical study on weak-dissipative two-mode perturbed Burgers’ and Ostrovsky models: right-left moving waves

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Abstract.

The purpose of this study is threefold. First, it derives newly developed two-mode nonlinear equations, two-mode perturbed Burgers’ and two-mode Ostrovsky models. Second, it investigates the values of the nonlinearity and dispersion parameters that support the existence of two right-left (R-L) moving wave solutions to these models. Finally, it provides a graphical analysis of the “two-mode” concept and the impact of its phase velocity on the field function.

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Authors and Affiliations

  1. Department of Mathematics & Statistics, Jordan University of Science and Technology, P.O.Box 3030, 22110, Irbid, Jordan

    Imad Jaradat, Marwan Alquran & Mohammed Ali

Authors
  1. Imad Jaradat
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  2. Marwan Alquran
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  3. Mohammed Ali
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Correspondence to Marwan Alquran.

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Jaradat, I., Alquran, M. & Ali, M. A numerical study on weak-dissipative two-mode perturbed Burgers’ and Ostrovsky models: right-left moving waves. Eur. Phys. J. Plus 133, 164 (2018). https://doi.org/10.1140/epjp/i2018-12026-x

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  • DOI: https://doi.org/10.1140/epjp/i2018-12026-x

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