Interaction phenomena between lump and solitary wave of a generalized (3 + 1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles

Autor:	Liu, Jian-Guo, Zhu, Wen-Hui, He, Yan, Wu, Ya-Kui
Rok vydání:	2019
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons Nonlinear Sciences - Exactly Solvable and Integrable Systems 35Q55 35C08 78A60
Zdroj:	Communications in Theoretical Physics (2020) 72(8) 085002
Druh dokumentu:	Working Paper
DOI:	10.1088/1572-9494/ab7709
Popis:	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. Their interaction phenomena is shown in some 3d graphs and contour plots, 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. Comment: 16 pages, 70 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1911.04893 Zobrazit plný text záznamu View this record from Arxiv