Lump solutions and interaction solutions for the dimensionally reduced nonlinear evolution equation
type: Item
instance of: scholarly article
title: Lump solutions and interaction solutions for the dimensionally reduced nonlinear evolution equation
zbMATH Open document ID: 1432.35186
DOI: 10.1155/2019/5765061
author: Yanyan Li
published in: Complexity
publication date: 2019-11-25T00:00:00Z
review text: Summary: In this paper, by means of the Hirota bilinear method, a dimensionally reduced nonlinear evolution equation is investigated. Through its bilinear form, lump solutions are obtained. We construct interaction solutions between lump solutions and one soliton solution by choosing quadratic functions and exponential function. Interaction solutions with the combinations of exponential functions and sine function are also given. Meanwhile, the figures of these solutions are plotted. The dynamical characteristics and properties of obtained solutions are discussed, respectively. The results show that the corresponding physical quantities and properties of nonlinear waves are associated with the values of the parameters.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35C08
zbMATH DE Number: 7136326
zbMATH Keywords: Hirota bilinear method
zbMATH Keywords: nonlinear waves
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2019/5765061
OpenAlex ID: W2982698161
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Wikidata QID: Q126861776
description: scientific article; zbMATH DE number 7136326