文献类型：期刊文献

英文题名：Dynamical analysis of solitary waves, lumps and interaction phenomena of a (2+1)-dimensional high-order nonlinear evolution equation

作者：Ren, Bo[1];Lou, Zhi-Mei[1];Sun, Yong-Li[2];He, Zhi-Wei[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Beijing Univ Chem Technol, Dept Math, Beijing 100029, Peoples R China

年份：2019

卷号：33

期号：16

外文期刊名：MODERN PHYSICS LETTERS B

收录：SCI-EXPANDED(收录号：WOS:000470818700013)、、Scopus(收录号：2-s2.0-85065415277)、WOS

基金：This work is supported by the National Natural Science Foundation of China Nos. 11775146, 11472177 and 11705116.

语种：英文

外文关键词：High-order nonlinear evolution; Hirota bilinear form; lump wave; rogue wave

外文摘要：A (2 + 1)-dimensional high-order nonlinear evolution (HNE) equation is considered in this paper. A Hirota bilinear form of the HNE equation is constructed by the dependent variable function. Solitary waves are derived by solving the Hirota bilinear form of the HNE equation. Lump waves of the HNE equation are obtained by introducing a positive quadratic function. By mixing an exponential function or two exponential functions with a quadratic function, interaction solutions between a lump and a one-soliton, and between a lump and a two-soliton are presented. For the interaction solution between a lump and a two-soliton, this kind of solution can be considered as a special rogue wave. The propagation phenomena of these explicit solutions are illustrated by some graphs.