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New (3\(\varvec{+}\)1)-dimensional equations of Burgers type and Sharma–Tasso–Olver type: multiple-soliton solutions

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Abstract

We construct new (\(3+1\))-dimensional Burgers and Sharma–Tasso–Olver-type equations. We determine the dispersion relation for each of the newly derived models. By using the simplified Hirota’s method, we derive multiple-soliton solutions for each equation. We derive a generalized dispersion relation that works for both equations.

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Authors and Affiliations

  1. Department of Mathematics, Saint Xavier University, Chicago, IL, 60655, USA

    Abdul-Majid Wazwaz

  2. Department of Physics, Faculty of Science, Port Said University, Port Said, 42521, Egypt

    S. A. El-Tantawy

Authors
  1. Abdul-Majid Wazwaz
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  2. S. A. El-Tantawy
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Correspondence to Abdul-Majid Wazwaz.

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Wazwaz, AM., El-Tantawy, S.A. New (3\(\varvec{+}\)1)-dimensional equations of Burgers type and Sharma–Tasso–Olver type: multiple-soliton solutions. Nonlinear Dyn 87, 2457–2461 (2017). https://doi.org/10.1007/s11071-016-3203-5

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  • DOI: https://doi.org/10.1007/s11071-016-3203-5

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