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Traveling wave solutions for nonlinear dispersive water-wave systems with time-dependent coefficients

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Abstract

In this article, the solitary wave and topological soliton solutions in the models that describe the propagation of surface water waves in a uniform channel are successfully constructed. The solitary wave ansatz is used to carry out these distinct solutions. The corresponding integrability criteria, also known as constraint conditions, naturally emerge from the analysis of these models.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Minhaj University, Lahore, 54000, Pakistan

    S. Ali

  2. Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan

    S. T. R. Rizvi

  3. Centre for Undergraduate Studies, University of Punjab, Lahore, 54590, Pakistan

    M. Younis

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  1. S. Ali
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  2. S. T. R. Rizvi
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  3. M. Younis
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Correspondence to M. Younis.

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Ali, S., Rizvi, S.T.R. & Younis, M. Traveling wave solutions for nonlinear dispersive water-wave systems with time-dependent coefficients. Nonlinear Dyn 82, 1755–1762 (2015). https://doi.org/10.1007/s11071-015-2274-z

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  • DOI: https://doi.org/10.1007/s11071-015-2274-z

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