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Soliton solutions to coupled nonlinear wave equations in (2 + 1)-dimensions

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Abstract

This paper implemented the tanh method to solve a few coupled nonlinear wave equations in (2 + 1)-dimensions. They are the Konopelchenko–Dubrovsky equation, dispersive long wave equation and the Riemann wave equation. Additionally, the traveling wave hypothesis is used to extract a few more solutons to some of these equations. Finally, the numerical simulations supplement these analytical results.

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Authors and Affiliations

  1. Department of Computer Engineering, Al-Rafidian Engineering College, Baghdad, 00964, Iraq

    A. J. M. Jawad

  2. Department of Mathematical Sciences, Delaware State University, Dover, DE, 19977, USA

    S. Johnson & A. Biswas

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

    S. Johnson

  4. Department of Mathematics, Ege University, Bornova, 35100, Izmir, Turkey

    A. Yildirim

  5. Department of Applied Sciences, Bahra Group of Institutes, Patiala, 147001, Punjab, India

    S. Kumar

Authors
  1. A. J. M. Jawad
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  2. S. Johnson
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  3. A. Yildirim
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  4. S. Kumar
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  5. A. Biswas
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Corresponding author

Correspondence to A. Biswas.

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Jawad, A.J.M., Johnson, S., Yildirim, A. et al. Soliton solutions to coupled nonlinear wave equations in (2 + 1)-dimensions. Indian J Phys 87, 281–287 (2013). https://doi.org/10.1007/s12648-012-0218-8

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  • DOI: https://doi.org/10.1007/s12648-012-0218-8

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