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.

Included in

Mathematics Commons

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