Interaction solutions to Hirota-Satsuma-Ito equation in (2+ 1)-dimensions

doi:10.1007/s11464-019-0771-y

Front. Math. China

2019, Vol. 14

Issue (3) : 619-629 https://doi.org/10.1007/s11464-019-0771-y

RESEARCH ARTICLE

Interaction solutions to Hirota-Satsuma-Ito equation in (2+ 1)-dimensions

Wen-Xiu MA^1,^2,^3,^4,^5,⁶(

)

¹. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
². Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
³. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA
⁴. College of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China
⁵. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
⁶. Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa

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Abstract

Abundant exact interaction solutions, including lump-soliton, lumpkink, and lump-periodic solutions, are computed for the Hirota-Satsuma-Ito equation in (2+1)-dimensions, through conducting symbolic computations with Maple. The basic starting point is a Hirota bilinear form of the Hirota-Satsuma-Ito equation. A few three-dimensional plots and contour plots of three special presented solutions are made to shed light on the characteristic of interaction solutions.

Keywords Symbolic computation lump solution interaction solution

Corresponding Author(s): Wen-Xiu MA

Issue Date: 10 July 2019

Cite this article:

Wen-Xiu MA. Interaction solutions to Hirota-Satsuma-Ito equation in (2+ 1)-dimensions[J]. Front. Math. China, 2019, 14(3): 619-629.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-019-0771-y
https://academic.hep.com.cn/fmc/EN/Y2019/V14/I3/619

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