TY - JOUR
T1 - Symbolic Computation of Lump Solutions to a Combined Equation Involving Three Types of Nonlinear Terms
AU - Ma , Wen-Xiu
AU - Zhang , Yi
AU - Tang , Yaning
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 732
EP - 745
PY - 2020
DA - 2020/08
SN - 10
DO - http://doi.org/10.4208/eajam.151019.110420 
UR - https://global-sci.org/intro/article_detail/eajam/17953.html
KW - Soliton equation, lump solution, Hirota derivative, symbolic computation, dispersion
relation.
AB - <p style="text-align: justify;">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.</p>