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

Wen-Xiu Ma,Xuelin Yong,Hai-Qiang Zhang

doi:10.1016/j.camwa.2017.09.013

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

Wen-Xiu Ma, Xuelin Yong + Show 1 more

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https://doi.org/10.1016/j.camwa.2017.09.013

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Journal: Computers & mathematics with applications (Oxford, England : 1987)	Publication Date: Oct 5, 2017
Citations: 294	License type: publisher-specific-oa

Affiliation: Shanghai University of Electric Power, North-West University, University of South Florida, Shandong University of Science and Technology, North China Electric Power University, University of Shanghai for Science and Technology

#Dimensional Ito Equation #Hirota Bilinear Form + Show 8 more

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Abstract

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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