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
收藏
页码：6276 / 6282
页数：7
相关论文
共 50 条
  • [1] From Liouville equation to lump solutions of the 2+1 Toda lattice
    Liang, Weizhao
    Liu, Yong
    Yang, Jianmin
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 411 : 478 - 505
  • [2] Lump solutions and interaction solutions for (2 + 1)-dimensional KPI equation
    Yanfeng Guo
    Zhengde Dai
    Chunxiao Guo
    Frontiers of Mathematics, 2022, 17 : 875 - 886
  • [3] Lump-stripe interaction solutions to the potential Yu-Toda-Sasa-Fukuyama equation
    Fang, Tao
    Wang, Yun-Hu
    ANALYSIS AND MATHEMATICAL PHYSICS, 2019, 9 (03) : 1481 - 1495
  • [4] Rational solutions and lump solutions to the (3+1)-dimensional Mel'nikov equation
    Yong, Xuelin
    Li, Xiaoyu
    Huang, Yehui
    Ma, Wen-Xiu
    Liu, Yong
    MODERN PHYSICS LETTERS B, 2020, 34 (03):
  • [5] Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation
    Zhou, Yuan
    Manukure, Solomon
    Ma, Wen-Xiu
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 68 : 56 - 62
  • [6] 2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Backlund transformation and Lax pair
    Wang, Hong-Yan
    Hu, Xing-Biao
    Gegenhasi
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 202 (01) : 133 - 143
  • [7] Multiple lump solutions of the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation
    Zhao, Zhonglong
    He, Lingchao
    APPLIED MATHEMATICS LETTERS, 2019, 95 : 114 - 121
  • [8] Lump-type solutions and interaction solutions in the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation
    Dong, Min-Jie
    Tian, Shou-Fu
    Wang, Xiu-Bin
    Zhang, Tian-Tian
    ANALYSIS AND MATHEMATICAL PHYSICS, 2019, 9 (03) : 1511 - 1523
  • [9] Lump solutions of a ()-dimensional bSK equation
    Lv, Jianqing
    Bilige, Sudao
    NONLINEAR DYNAMICS, 2017, 90 (03) : 2119 - 2124
  • [10] A CLASS OF LUMP SOLUTIONS FOR ITO EQUATION
    Ma, Hongcai
    Meng, Xiangmin
    Wu, Hanfang
    Deng, Aiping
    THERMAL SCIENCE, 2019, 23 (04): : 2205 - 2210
12345