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Analytical behaviour of lump solution and interaction phenomenon to the Kadomtsev–Petviashvili-like equation

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Abstract

In this paper, we use the generalised Hirota bilinear method (GHBM). With the help of symbolic calculations and applying the used method, we solve the Kadomtsev–Petviashvili (KP)-like equation with \(p=3\) to obtain some new lump, periodic kink-wave and solitary wave solutions. All solutions have been verified with their corresponding equations with the aid of the Maple package program.

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Acknowledgements

The authors would like to thank the editor and referee for their valuable suggestions and comments.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Maragheh, P.O. Box 55136-553, Maragheh, Iran

    Mohammad Shahriari

  2. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

    Jalil Manafian

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  1. Mohammad Shahriari
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  2. Jalil Manafian
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Correspondence to Jalil Manafian.

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Shahriari, M., Manafian, J. Analytical behaviour of lump solution and interaction phenomenon to the Kadomtsev–Petviashvili-like equation. Pramana - J Phys 93, 3 (2019). https://doi.org/10.1007/s12043-019-1761-z

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  • DOI: https://doi.org/10.1007/s12043-019-1761-z

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