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A new integrable (\(3+1\))-dimensional KdV-like model with its multiple-soliton solutions

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Abstract

A new integrable (\(3+1\))-dimensional KdV-like model is constructed and investigated. Multiple-soliton solutions are derived by means of the simplified Hirota’s method. The Painlevé integrability of the new model is confirmed by using the MAPLE package WKPtest.

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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. A new integrable (\(3+1\))-dimensional KdV-like model with its multiple-soliton solutions. Nonlinear Dyn 83, 1529–1534 (2016). https://doi.org/10.1007/s11071-015-2427-0

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  • DOI: https://doi.org/10.1007/s11071-015-2427-0

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