Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions

被引：5
|
作者：
Xiong, Na [1 ]
Li, Wen-Tao [2 ]
Li, Biao [2 ]
机构：
[1] Ningbo Univ, Coll Sci & Technol, Ningbo 315211, Peoples R China
[2] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2020年 / 2020卷
基金：
中国国家自然科学基金;
关键词：
RESONANCE STRIPE SOLITONS; WAVE SOLUTIONS; ROGUE WAVES; PAIR; FORM;
D O I：
10.1155/2020/6185391
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Through the method ofZN-KP hierarchy, we propose a new (3+1)-dimensional weakly coupled B-KP equation. Based on the bilinear form, we obtain the lump and rational solutions to the dimensionally reduced cases by constructing a symmetric positive semidefinite matrix. Then, we do numerical analysis on the rational solutions and fit the trajectory equation of the crest. Furthermore, we verify the accuracy of the trajectory equation by numerical analysis. This method of solving the lump and rational solutions can also be applied to other nonlinear evolution equations.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] Lump and rational solutions for weakly coupled generalized Kadomtsev-Petviashvili equation
    Wu, Hongyu
    Fei, Jinxi
    Ma, Wenxiu
    [J]. MODERN PHYSICS LETTERS B, 2021, 35 (26):
  • [2] RATIONAL AND INTERACTIVE SOLUTIONS TO THE B-TYPE KADOMTSEV-PETVIASHVILI EQUATION
    Zhou, Yuan
    Manukure, Solomon
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (05): : 2473 - 2490
  • [3] LUMP SOLUTIONS FOR THE DIMENSIONALLY REDUCED VARIABLE COEFFICIENT B-TYPE KADOMTSEV-PETVIASHVILI EQUATION
    Zhang, Yanni
    Zhao, Xin
    Pang, Jing
    [J]. THERMAL SCIENCE, 2021, 25 (02): : 1397 - 1400
  • [4] Wronskian solutions and linear superposition of rational solutions to B-type Kadomtsev-Petviashvili equation
    Chen, Yu
    Lue, Xing
    [J]. PHYSICS OF FLUIDS, 2023, 35 (10)
  • [5] Lump solutions to the Kadomtsev-Petviashvili equation
    Ma, Wen-Xiu
    [J]. PHYSICS LETTERS A, 2015, 379 (36) : 1975 - 1978
  • [6] Lump Solutions to the (3+1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation
    Cao, Xifang
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
  • [7] LUMP SOLUTIONS TO THE GENERALIZED (2+1)-DIMENSIONAL B-TYPE KADOMTSEV-PETVIASHVILI EQUATION
    Cai, Benzhi
    Wang, Zhenli
    Zhang, Lihua
    Liu, Hanze
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (03): : 1038 - 1046
  • [8] SOLITONS AND OTHER SOLUTIONS TO KADOMTSEV-PETVIASHVILI EQUATION OF B-TYPE
    Bhrawy, A. H.
    Abdelkawy, M. A.
    Kumar, Sachin
    Biswas, Anjan
    [J]. ROMANIAN JOURNAL OF PHYSICS, 2013, 58 (7-8): : 729 - 748
  • [9] Lump solutions of the fractional Kadomtsev-Petviashvili equation
    Borluk, Handan
    Bruell, Gabriele
    Nilsson, Dag
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2024, 27 (01) : 22 - 63
  • [10] Lump, mixed lump-kink, breather and rogue waves for a B-type Kadomtsev-Petviashvili equation
    Du, Xia-Xia
    Tian, Bo
    Yin, Ying
    [J]. WAVES IN RANDOM AND COMPLEX MEDIA, 2021, 31 (01) : 101 - 116
12345