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
  • [21] Lump solutions of the fractional Kadomtsev–Petviashvili equation
    Handan Borluk
    Gabriele Bruell
    Dag Nilsson
    Fractional Calculus and Applied Analysis, 2024, 27 : 22 - 63
  • [22] Lump solutions to the BKP equation by symbolic computation
    Yang, Jing-Yun
    Ma, Wen-Xiu
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2016, 30 (28-29):
  • [23] Novel characteristics of lump and lump-soliton interaction solutions to the (2+1)-dimensional Alice-Bob Hirota-Satsuma-Ito equation
    Shen, Wang
    Ma, Zhengyi
    Fei, Jinxi
    Zhu, Quanyong
    MODERN PHYSICS LETTERS B, 2020, 34 (36):
  • [24] M-lump and hybrid solutions of a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation
    Zhao, Zhonglong
    He, Lingchao
    APPLIED MATHEMATICS LETTERS, 2021, 111
  • [25] Rogue waves, classical lump solutions and generalized lump solutions for Sawada-Kotera-like equation
    Zhang, Run-Fa
    Li, Ming-Chu
    Al-Mosharea, Esmail
    Zheng, Fu-Chang
    Bilige, Sudao
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2022, 36 (05):
  • [26] DYNAMICAL ANALYSIS OF LUMP SOLUTION FOR THE (2+1)-DIMENSIONAL ITO EQUATION
    Tan, Wei
    Dai, Zheng-De
    Dai, Hou-Ping
    THERMAL SCIENCE, 2017, 21 (04): : 1673 - 1679
  • [27] Dynamics of lump solutions, lump-kink solutions and periodic lump solutions in a (3+1)-dimensional generalized Jimbo-Miwa equation
    Yan, Xue-Wei
    Tian, Shou-Fu
    Dong, Min-Jie
    Zhang, Tian-Tian
    WAVES IN RANDOM AND COMPLEX MEDIA, 2021, 31 (02) : 293 - 304
  • [28] Bell polynomials and lump-type solutions to the Hirota–Satsuma–Ito equation under general and positive quadratic polynomial functions
    Aliyu Isa Aliyu
    Yongjin Li
    The European Physical Journal Plus, 135
  • [29] Trajectory equation of a lump before and after collision with other waves for generalized Hirota–Satsuma–Ito equation
    夏亚荣
    张开开
    姚若侠
    申亚丽
    Chinese Physics B, 2023, 32 (10) : 197 - 205
  • [30] Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
    Shou-Ting Chen
    Wen-Xiu Ma
    Frontiers of Mathematics in China, 2018, 13 : 525 - 534
12345