Symbolic Computation of Lump Solutions to a Combined Equation Involving Three Types of Nonlinear Terms
Year: 2020
Author: Wen-Xiu Ma, Yi Zhang, Yaning Tang
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 4 : pp. 732–745
Abstract
This paper aims to compute lump solutions to a combined fourth-order equation involving three types of nonlinear terms in (2+1)-dimensions via symbolic computations. The combined nonlinear equation contains all second-order linear terms and it possesses a Hirota bilinear form under two logarithmic transformations. Two classes of explicit lump solutions are determined, which are associated with two cases of the coefficients in the model equation. Two illustrative examples of the combined nonlinear equation are presented, along with lump solutions and their representative three-dimensional plots, contour plots and density plots.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.151019.110420
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 4 : pp. 732–745
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Soliton equation lump solution Hirota derivative symbolic computation dispersion relation.