Lump solutions of the 2D Toda equation

被引：15

作者：

Sun, Yong-Li ^{[1
,2
]}

Ma, Wen-Xiu ^{[3
]}

Yu, Jian-Ping ^{[4
]}

机构：

[1] Beijing Univ Chem Technol, Dept Math, Beijing, Peoples R China

[2] Brock Univ, Dept Math & Stat, St Catharines, ON, Canada

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

[4] Univ Sci & Technol Beijing, Dept Appl Math, Beijing 100083, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 10期

基金：

中国国家自然科学基金;

关键词：

integrable equations; integrable hierarchies; soliton solutions; lump solutions; 2D Toda equation; DYNAMICS; WAVE;

D O I：

10.1002/mma.6370

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research, the lump solution, which is rationally localized and decays along the directions of space variables, of a 2D Toda equation is studied. The effective method of constructing the lump solutions of this 2D Toda equation is derived, and the constraint conditions that make the lump solutions analytical and positive are obtained as well. Finally, three classes of lump solutions are constructed, 3D plots, density plots, and contour plots are given to illustrate this proposed method.

引用

页码：6276 / 6282

页数：7

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