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Lump solutions with interaction phenomena in the (2+1)-dimensional Ito equation

Zou, L and Yu, ZB and Tian, SF and Feng, LL and Li, J (2018) Lump solutions with interaction phenomena in the (2+1)-dimensional Ito equation. Modern Physics Letters B, 32. ISSN 0217-9849

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In this paper, we consider the (2+1)-dimensional Ito equation, which was introduced by Ito. By considering the Hirota's bilinear method, and using the positive quadratic function, we obtain some lump solutions of the Ito equation. In order to ensure rational localization and analyticity of these lump solutions, some sufficient and necessary conditions are provided on the parameters that appeared in the solutions. Furthermore, the interaction solutions between lump solutions and the stripe solitons are discussed by combining positive quadratic function with exponential function. Finally, the dynamic properties of these solutions are shown via the way of graphical analysis by selecting appropriate values of the parameters.

Item Type: Article
Depositing User: Cron Job
Date Deposited: 26 Nov 2020 04:21
Last Modified: 10 Apr 2021 22:56
DOI: 10.1142/S021798491850104X