Abstract.
In this work, the lump solution and the kink solitary wave solution from the (2 + 1) -dimensional third-order evolution equation, using the Hirota bilinear method are obtained through symbolic computation with Maple. We have assumed that the lump solution is centered at the origin, when t = 0 . By considering a mixing positive quadratic function with exponential function, as well as a mixing positive quadratic function with hyperbolic cosine function, interaction solutions like lump-exponential and lump-hyperbolic cosine are presented. A completely non-elastic interaction between a lump and kink soliton is observed, showing that a lump solution can be swallowed by a kink soliton.
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Kofane, T.C., Fokou, M., Mohamadou, A. et al. Lump solutions and interaction phenomenon to the third-order nonlinear evolution equation. Eur. Phys. J. Plus 132, 465 (2017). https://doi.org/10.1140/epjp/i2017-11747-6
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DOI: https://doi.org/10.1140/epjp/i2017-11747-6