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Soliton Solution of Good Boussinesq Equation

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Abstract

Using Hirota’s direct bilinear method, we develop the soliton solution of the good Boussinesq equation. A mathematical justification of the solution formula is presented. Besides, the obtained result is compared to the existing solution obtained by the Wronskian formulation and a detailed discussion on their structures is provided.

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Acknowledgments

The author thanks the anonymous referees whose comments and suggestions improved the clarity of presentation and the scientific aspect of the paper.

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  1. Lehrstuhl für Mechanik - Materialtheorie, Ruhr-Universität Bochum, D-44780, Bochum, Germany

    Lu Trong Khiem Nguyen

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  1. Lu Trong Khiem Nguyen
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Nguyen, L.T.K. Soliton Solution of Good Boussinesq Equation. Vietnam J. Math. 44, 375–385 (2016). https://doi.org/10.1007/s10013-015-0157-8

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