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On controlled propagation of long waves in nonautonomous Boussinesq–Burgers equations

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Abstract

Very recently, the homogeneous Boussinesq–Burgers equations for finding multi-solitary long waves were studied, while the specification of propagation of these waves has not been studied. Here, controlled the propagation of long waves is investigated for different geometrical structure of long waves soliton, chirped elliptical waves, or periodic waves. Here depending on the inhomogeneity of the medium by account by time-dependent coefficients of the dispersion and nonlinearity, it is found that, the velocity and the height of long waves propagation are remarkably increasing with the dispersions coefficient. While this holds vice versa for the nonlinearity coefficient.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt

    H. I. Abdel-Gawad & M. Tantawy

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  1. H. I. Abdel-Gawad
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  2. M. Tantawy
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Correspondence to M. Tantawy.

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Abdel-Gawad, H.I., Tantawy, M. On controlled propagation of long waves in nonautonomous Boussinesq–Burgers equations. Nonlinear Dyn 87, 2511–2518 (2017). https://doi.org/10.1007/s11071-016-3207-1

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