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

被引：291
|
作者：
Ma, Wen-Xiu [1 ,2 ,3 ,4 ]
Yong, Xuelin [3 ,5 ]
Zhang, Hai-Qiang [3 ,6 ]
机构：
[1] Shanghai Univ Elect Power, Coll Math & Phys, Shanghai 200090, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[3] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[4] North West Univ, Dept Math Sci, Mafikeng Campus, ZA-2735 Mmabatho, South Africa
[5] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
[6] Univ Shanghai Sci & Technol, Coll Sci, POB 253, Shanghai 200093, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 01期
基金：
美国国家科学基金会;
关键词：
Hirota bilinear form; Lumps; Solitons; Kinks; NONLINEAR EVOLUTION-EQUATIONS; KADOMTSEV-PETVIASHVILI EQUATION; SYMMETRY CONSTRAINT; SOLITON-SOLUTIONS; LUMP SOLUTIONS; HIERARCHY; SYSTEMS; WAVE;
D O I：
10.1016/j.camwa.2017.09.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：289 / 295
页数：7
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