Abundant lump and lump-kink solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation

被引：92
|
作者：
Liu, Jian-Guo [1 ]
He, Yan [1 ]
机构：
[1] Jiangxi Univ Tradit Chinese Med, Coll Comp, Nanchang 330004, Jiangxi, Peoples R China
来源：
NONLINEAR DYNAMICS | 2018年 / 92卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Lump solutions; Hirota's bilinear form; Lump-kink solutions; New generalized Kadomtsev-Petviashvili equation; MULTIPLE-SOLITON-SOLUTIONS; JIMBO-MIWA; RATIONAL SOLUTIONS; WAVE;
D O I：
10.1007/s11071-018-4111-7
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
By utilizing the Hirota's bilinear form and symbolic computation, abundant lump solutions and lump-kink solutions of the new (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation are derived in this work. Meanwhile, the interaction between lump solutions and the exponential function is also investigated. The dynamic properties of these obtained lump and interaction solutions are analyzed and described in figures by selecting appropriate parameters.
引用
收藏
页码：1103 / 1108
页数：6
相关论文
共 50 条
  • [1] Abundant lump and lump–kink solutions for the new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation
    Jian-Guo Liu
    Yan He
    Nonlinear Dynamics, 2018, 92 : 1103 - 1108
  • [2] Lump and lump strip solutions to the (3+1)-dimensional generalized Kadomtsev-Petviashvili equation
    Guan, Xue
    Zhou, Qin
    Liu, Wenjun
    EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (07):
  • [3] Lump Solutions for the (3+1)-Dimensional Kadomtsev-Petviashvili Equation
    Liu, De-Yin
    Tian, Bo
    Xie, Xi-Yang
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2016, 71 (12): : 1139 - 1141
  • [4] Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation
    Guan, Xue
    Liu, Wenjun
    Zhou, Qin
    Biswas, Anjan
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 366
  • [5] Lump and lump strip solutions to the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation
    Xue Guan
    Qin Zhou
    Wenjun Liu
    The European Physical Journal Plus, 134
  • [6] Mixed lump and soliton solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation
    Ma, Yu-Lan
    Li, Bang-Qing
    AIMS MATHEMATICS, 2020, 5 (02): : 1162 - 1176
  • [7] Abundant Lump Solution and Interaction Phenomenon of (3+1)-Dimensional Generalized Kadomtsev-Petviashvili Equation
    Lu, Jianqing
    Bilige, Sudao
    Gao, Xiaoqing
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2019, 20 (01) : 33 - 40
  • [8] ABUNDANT LUMP SOLUTIONS AND INTERACTION SOLUTIONS OF A (3+1)-D KADOMTSEV-PETVIASHVILI EQUATION
    Gao, Xiaoqing
    Bilige, Sudao
    Lu, Jianqing
    Bai, Yuexing
    Zhang, Runfa
    Chaolu, Temuer
    THERMAL SCIENCE, 2019, 23 (04): : 2437 - 2445
  • [9] Lump solutions of a new generalized Kadomtsev-Petviashvili equation
    Yu, Jing
    Ma, Wen-Xiu
    Chen, Shou-Ting
    MODERN PHYSICS LETTERS B, 2019, 33 (10):
  • [10] Lump Solutions to the (3+1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation
    Cao, Xifang
    ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
12345