Dynamics for the Compound Burgers-KdV equation

Authors

Xiangqian Zheng, University of Texas-Pan American

Date of Award

8-2014

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Zhaosheng Feng

Second Advisor

Dr. Andras Balogh

Third Advisor

Dr. Tim Huber

Abstract

In this thesis, we study the Two-Dimensional Burgers-Korteweg-de Vries (2D-BKdV) equation and Two-Dimensional Compound Burgers-Korteweg-de Vries (2D-Compound BKdV) by analyzing the first integral equation, which indicates that under some particular conditions, the 2D-BKdV equation and 2D-Compound BKdV have exact traveling wave solutions. By using the elliptic integral and some transformations, traveling wave solution to the 2D-BKdV equation and 2DCompound BKdV are expressed explicitly.

Comments

Copyright 2014 Xiangqian Zheng. All Rights Reserved.

https://www.proquest.com/dissertations-theses/dynamics-compound-burgers-kdv-equation/docview/1629825603/se-2

Granting Institution

University of Texas-Pan American