Graduation Year
2022
Document Type
Thesis
Degree
M.A.
Degree Name
Master of Arts (M.A.)
Degree Granting Department
Mathematics and Statistics
Major Professor
Wen-Xiu Ma, Ph.D.
Committee Member
Seung-Yeop Lee, Ph.D.
Committee Member
Arthur Danielyan, Ph.D.
Keywords
Bilinear Derivative, Lumps, Soliton, the Hirota Bilinear Method
Abstract
This thesis aims to consider a (2+1)-dimensional nonlinear evolution equation and its lump solutions. Byusing symbolic computation, two classes of lump solutions are presented. And for two specific chosen examples, we will show three-dimensional plots and density plots to exhibit dynamical features of the lump solution, which are made by Maple plot tools.
Scholar Commons Citation
He, Jingwei, "Symbolic Computation of Lump Solutions to a Combined (2+1)-dimensional Nonlinear Evolution Equation" (2022). USF Tampa Graduate Theses and Dissertations.
https://digitalcommons.usf.edu/etd/9370