Abundant exact solutions and interaction phenomena of the (2 + 1)-dimensional YTSF equation
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In this paper, we study abundant exact solutions including the lump and interaction solutions to the (2 + 1)-dimensional Yu–Toda–Sasa–Fukuyama equation. With symbolic computation, lump solutions and the interaction solutions are generated directly based on the Hirota bilinear formulation. Analyticity and well-definedness is guaranteed through some conditions posed on the parameters. With special choices of the involved parameters, the interaction phenomena are simulated and discussed. We find the lump moves from one hump to the other hump of the two-soliton, while the lump separates from the hump of the one-soliton.
KeywordsHirota bilinear form Lump solutions Interaction solutions YTSF equation
This work is supported by the National Natural Science Foundation of China under Grant No. 71971015, and the Fundamental Research Funds for the Central Universities of China (2018RC031). Y. H. Yin is supported by the Project of National Innovation and Entrepreneurship Training Program for College Students under Grant No. 201710004054.
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Conflict of interest
The authors declare that they have no conflict of interest concerning the publication of this manuscript.
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