• Communications in Theoretical Physics
  • Vol. 72, Issue 8, (2020)
Jian-Guo Liu1、†, Wen-Hui Zhu2、†, Yan He1、†, and Ya-Kui Wu3、†
Author Affiliations
  • 1College of Computer, Jiangxi University of Traditional Chinese Medicine, Jiangxi 330004, China
  • 2Institute of artificial intelligence, Nanchang Institute of Science and Technology, Jiangxi 330108, China
  • 3School of science, Jiujiang University, Jiangxi 2005, China
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    DOI: 10.1088/1572-9494/ab7709 Cite this Article
    Jian-Guo Liu, Wen-Hui Zhu, Yan He, Ya-Kui Wu. Interaction phenomena between lump and solitary wave of a generalized (3 + 1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles[J]. Communications in Theoretical Physics, 2020, 72(8): Copy Citation Text show less

    Abstract

    In this paper, a generalized (3 + 1)-dimensional variable-coefficient nonlinear-wave equation is studied in liquid with gas bubbles. Based on the Hirota’s bilinear form and symbolic computation, lump and interaction solutions between lump and solitary wave are obtained, which include a periodic-shape lump solution, a parabolic-shape lump solution, a cubic-shape lump solution, interaction solutions between lump and one solitary wave, and between lump and two solitary waves. The spatial structures called the bright lump wave and the bright-dark lump wave are discussed. Interaction behaviors of two bright-dark lump waves and a periodic-shape bright lump wave are also presented. Their interactions are shown in some 3D plots.
    Jian-Guo Liu, Wen-Hui Zhu, Yan He, Ya-Kui Wu. Interaction phenomena between lump and solitary wave of a generalized (3 + 1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles[J]. Communications in Theoretical Physics, 2020, 72(8):
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