General high-order breather, lump, and semi-rational solutions to the (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation

被引：4
|
作者：
Zhou, Xin-Mei
Tian, Shou-Fu [1 ]
Zhang, Ling-Di
Zhang, Tian-Tian [1 ]
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2021年 / 35卷 / 03期
基金：
中国国家自然科学基金;
关键词：
The (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation; high-order breather solutions; high-order lump solutions; semi-rational solutions; LIE SYMMETRY ANALYSIS; CONSERVATION-LAWS; WAVE SOLUTIONS; ROGUE WAVES; TRANSFORMATIONS;
D O I：
10.1142/S0217984921500573
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this work, we investigate the (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko (gBK) equation. Based on its bilinear form, the Nth-order breather solutions of the gBK equation are successful given by taking appropriate parameters. Furthermore, the Nth-order lump solutions of the gBK equation are obtained via the long-wave limit method. In addition, the semi-rational solutions are generated to reveal the interaction between lump solutions, soliton solutions, and breather solutions.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] General M-lump, high-order breather, and localized interaction solutions to (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation
    Ma, Hongcai
    Bai, Yunxiang
    Deng, Aiping
    FRONTIERS OF MATHEMATICS IN CHINA, 2022, 17 (05) : 943 - 960
  • [2] General M-lump, high-order breather, and localized interaction solutions to (2 + 1)-dimensional generalized Bogoyavlensky-Konopelchenko equation
    Hongcai Ma
    Yunxiang Bai
    Aiping Deng
    Frontiers of Mathematics, 2022, 17 : 943 - 960
  • [3] Lump-type solutions and lump solutions for the (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation
    Li, Qiang
    Chaolu, Temuer
    Wang, Yun-Hu
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (08) : 2077 - 2085
  • [4] General Multi-Breather, High-Order Lump and Semi-Rational Solutions of the (2+1)-Dimensional Mel'nikov Equation
    Yan, Xue-Wei
    Chen, Yong
    Wang, Xiu-Bin
    Tian, Shou-Fu
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2024, 93 (02)
  • [5] Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
    Chen, Shou-Ting
    Ma, Wen-Xiu
    FRONTIERS OF MATHEMATICS IN CHINA, 2018, 13 (03) : 525 - 534
  • [6] Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
    Shou-Ting Chen
    Wen-Xiu Ma
    Frontiers of Mathematics in China, 2018, 13 : 525 - 534
  • [7] Conservation laws and exact solutions of a generalized (2+1)-dimensional Bogoyavlensky-Konopelchenko equation
    Podilea, T. J.
    Muatjetjejaa, B. B.
    Ademc, A. R.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 : 709 - 718
  • [8] Painleve integrability and new soliton solutions for (2+1)-dimensional Bogoyavlensky-Konopelchenko equation and generalized Bogoyavlensky-Konopelchenko equation with variable coefficients in fluid mechanics
    Singh, S.
    Ray, S. Saha
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2023, 37 (14):
  • [9] Some novel fusion and fission wave solutions in the (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation
    Li, Yuhan
    An, Hongli
    Zhu, Haixing
    EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (12):
  • [10] Quasi-periodic wave solutions, soliton solutions, and integrability to a (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation
    Yan, Hui
    Tian, Shou-Fu
    Feng, Lian-Li
    Zhang, Tian-Tian
    WAVES IN RANDOM AND COMPLEX MEDIA, 2016, 26 (04) : 444 - 457
12345