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The first integral method and some nonlinear models

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Abstract

In this article, first integral method [Ref. : Feng. Z., Journal of Physics A: Mathematical and General, 35(2002), 343–349] is used to find exact solutions of some nonlinear partial differential equations. It is applied to find exact solutions to a variant Boussinesq equation, the extended modifed Korteweg-de Vries equation and the Kudryashov–Sinel’shchikov equation. The properties of solutions are then discussed and plotted by using suitable values of the parameters involved. Shock wave-like solutions for variant Boussinesq and extended mKdv equations are found. For the Kudryashov–Sinel’shchikov equation one singular and two exponential solutions are obtained.

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Acknowledgements

Arindam Ghosh is grateful to MHRD, Govt. of India for their financial support in this research work.

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  1. Department of Mathematics, NIT, Durgapur, India

    Arindam Ghosh & Sarit Maitra

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  1. Arindam Ghosh
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  2. Sarit Maitra
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Correspondence to Arindam Ghosh.

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Communicated by Corina Giurgea.

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Ghosh, A., Maitra, S. The first integral method and some nonlinear models. Comp. Appl. Math. 40, 79 (2021). https://doi.org/10.1007/s40314-021-01470-1

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  • DOI: https://doi.org/10.1007/s40314-021-01470-1

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