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Diversity of interaction solutions to the (2+1)-dimensional Ito equation
Journal article   Open access  Peer reviewed

Diversity of interaction solutions to the (2+1)-dimensional Ito equation

Wen-Xiu Ma, Xuelin Yong and Hai-Qiang Zhang
Computers & mathematics with applications (1987), Vol.75(1), pp.289-295
01/01/2018

Abstract

Hirota bilinear form Kinks Lumps Solitons
We aim to show the diversity of interaction solutions to the (2+1)-dimensional Ito equation, based on its Hirota bilinear form. The proof is given through Maple symbolic computations. An interesting characteristic in the resulting interaction solutions is the involvement of an arbitrary function. Special cases lead to lump solutions, lump-soliton solutions and lump-kink solutions. Two illustrative examples of the resulting solutions are displayed by three-dimensional plots and contour plots.
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https://doi.org/10.1016/j.camwa.2017.09.013View
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