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

被引：161

作者：

Ma, Wen-Xiu ^{[1
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机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia

[3] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[4] Shanghai Univ Elect Power, Coll Math & Phys, Shanghai 200090, Peoples R China

[5] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

[6] North West Univ, Dept Math Sci, Ma fi keng Campus, ZA-2735 Mmabatho, South Africa

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2019年 / 14卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Symbolic computation; lump solution; interaction solution; 35Q51; 35Q53; 37K40; LINEAR SUPERPOSITION PRINCIPLE; INTEGRABLE SYMPLECTIC MAP; LUMP-KINK SOLUTIONS; DE-VRIES EQUATION; RATIONAL SOLUTIONS; SOLITON-SOLUTIONS; SYMMETRY; SYSTEM;

D O I：

10.1007/s11464-019-0771-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Abundant exact interaction solutions, including lump-soliton, lump-kink, 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.

引用

页码：619 / 629

页数：11

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