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Multi-soliton, Rogue Wave and Periodic Wave Solutions of Generalized (\(2+1\)) Dimensional Boussinesq Equation

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Abstract

In this work, we investigate a new generalized (\(2+1\)) dimensional Boussinesq Equation. This integrable shallow water wave equation is studied by virtue of the Simplified Hirota’s bilinear Method to derive single soliton, multi-soliton solutions and Extended Homoclinic Test Approach Method to derive rogue wave, multi-travelling wave and singular periodic wave solutions. The analytical solutions have different physical structures are graphically analyzed and demonstrated their dynamical behavior by means of two-dimensional, three-dimensional and contour plots.

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Acknowledgements

The author D. Vinodh acknowledge University Grants Commission (Grant Number F.25-1/2013-14(BSR)5-66/2007) for providing financial support under the—BSR (Basic Scientific Research) scheme, Government of India.

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  1. Department of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu, 625021, India

    D. Vinodh & R. Asokan

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Vinodh, D., Asokan, R. Multi-soliton, Rogue Wave and Periodic Wave Solutions of Generalized (\(2+1\)) Dimensional Boussinesq Equation. Int. J. Appl. Comput. Math 6, 15 (2020). https://doi.org/10.1007/s40819-020-0768-y

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