Interaction phenomena between lump and solitary wave of a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles |
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Authors: | Jian-Guo Liu Wen-Hui Zhu Yan He Ya-Kui Wu |
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Affiliation: | 1.College of Computer, Jiangxi University of Traditional Chinese Medicine, Jiangxi 330004, China;2.Institute of artificial intelligence, Nanchang Institute of Science and Technology, Jiangxi 330108, China;3.School of science, Jiujiang University, Jiangxi 332005, China |
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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. |
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Keywords: | solitary wave lump wave variable-coefficient nonlinear-wave equation interaction behaviors |
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