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New Soliton and Periodic Wave Solutions to the Fractional DGH Equation Describing Water Waves in a Shallow Regime

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Abstract

In this paper, the auxiliary equation method is proposed to find the explicit solutions of the space-time fractional Dullin-Gottwald-Holm equation. Many new soliton and periodic wave solutions to this equation have been determined using the proposed auxiliary equation method. The obtained solutions might play a significant role in shallow water wave propagation. The results manifest that the proposed method is more useful and efficacious than other direct analytical methods. The results also demonstrate that the present technique is a simple and convenient tool for exploring new travelling wave solutions to the currently studied equation.

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  1. Department of Mathematics, National Institute of Technology, Rourkela, 769008, India

    S. Saha Ray

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Saha Ray, S. New Soliton and Periodic Wave Solutions to the Fractional DGH Equation Describing Water Waves in a Shallow Regime. Qual. Theory Dyn. Syst. 21, 151 (2022). https://doi.org/10.1007/s12346-022-00682-y

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