Lump solutions to a \((2+1)\)-dimensional fifth-order KdV-like equation
type: Item
instance of: scholarly article
title: Lump solutions to a \((2+1)\)-dimensional fifth-order KdV-like equation
zbMATH Open document ID: 1446.35169
DOI: 10.1155/2018/2062398
author: Sumayah Batwa
author: Wen-Xiu Ma
published in: Advances in Mathematical Physics
publication date: 2018-12-11T00:00:00Z
review text: Summary: A \((2+1)\)-dimensional fifth-order KdV-like equation is introduced through a generalized bilinear equation with the prime number \(p = 5\). The new equation possesses the same bilinear form as the standard \((2+1)\)-dimensional fifth-order KdV equation. By Maple symbolic computation, classes of lump solutions are constructed from a search for quadratic function solutions to the corresponding generalized bilinear equation. We get a set of free parameters in the resulting lump solutions, of which we can get a nonzero determinant condition ensuring analyticity and rational localization of the solutions. Particular classes of lump solutions with special choices of the free parameters are generated and plotted as illustrative examples.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 6991934
zbMATH Keywords: fifth-order KdV-like equation
zbMATH Keywords: lump solutions
zbMATH Keywords: symbolic computation
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2062398
OpenAlex ID: W2811393030
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Wikidata QID: Q129608738
description: scientific article; zbMATH DE number 6991934