A CLASS OF LUMP SOLUTIONS FOR ITO EQUATION

被引:5
|
作者
Ma, Hongcai [1 ]
Meng, Xiangmin [1 ]
Wu, Hanfang [1 ]
Deng, Aiping [1 ]
机构
[1] Donghua Univ, Dept Appl Math, Shanghai, Peoples R China
来源
THERMAL SCIENCE | 2019年 / 23卷 / 04期
基金
中国国家自然科学基金;
关键词
Ito equation; lump solution; solitons; Hirota's bilinear method; RATIONAL SOLUTIONS; WAVE; EVOLUTION;
D O I
10.2298/TSCI1904205M
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this paper, we investigate the exact solutions for the (1 + 1)-D Ito equation. Some lump solutions are obtained by using Hirota's bilinear method, and the conditions to guarantee analytical and rational localization of the lump solutions are presented. Suitable choices of the involved parameters guaranteeing analyticity of the solution are given. The 3-D plots with particular choices of the involved parameters are illustrated.
引用
收藏
页码:2205 / 2210
页数:6
相关论文
共 50 条
  • [31] Lump solutions of the 2D Toda equation
    Sun, Yong-Li
    Ma, Wen-Xiu
    Yu, Jian-Ping
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (10) : 6276 - 6282
  • [32] Lump solutions to the ()-dimensional Sawada-Kotera equation
    Zhang, Hai-Qiang
    Ma, Wen-Xiu
    NONLINEAR DYNAMICS, 2017, 87 (04) : 2305 - 2310
  • [33] Mixed lump-kink solutions to the KP equation
    Zhao, Hai-qiong
    Ma, Wen-Xiu
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (06) : 1399 - 1405
  • [34] Lump solutions of the fractional Kadomtsev-Petviashvili equation
    Borluk, Handan
    Bruell, Gabriele
    Nilsson, Dag
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2024, 27 (01) : 22 - 63
  • [35] Lump solutions and interaction solutions for (2 + 1)-dimensional KPI equation
    Yanfeng Guo
    Zhengde Dai
    Chunxiao Guo
    Frontiers of Mathematics, 2022, 17 : 875 - 886
  • [36] Degenerate lump wave solutions of the Mel’nikov equation
    Xiangyu Yang
    Zhao Zhang
    Zhen Wang
    Nonlinear Dynamics, 2023, 111 : 1553 - 1563
  • [37] New interaction of high-order breather solutions, lump solutions and mixed solutions for (3+1)-dimensional Hirota-Satsuma-Ito-like equation
    Zhang, Shijie
    Bao, Taogetusang
    NONLINEAR DYNAMICS, 2021, 106 (03) : 2465 - 2478
  • [38] Lump Solutions and Interaction Solutions for the Dimensionally Reduced Nonlinear Evolution Equation
    Guo, Baoyong
    Dong, Huanhe
    Fang, Yong
    COMPLEXITY, 2019, 2019
  • [39] Rational solutions and bright-dark lump solutions to the BKP equation
    Zhang, Hai-Qiang
    Geng, Jiang-Su
    Zhang, Meng-Yue
    MODERN PHYSICS LETTERS B, 2018, 32 (27):
  • [40] Dromion and lump solutions of the Ishimori-I equation
    Imai, K
    PROGRESS OF THEORETICAL PHYSICS, 1997, 98 (05): : 1013 - 1023