Traveling Wave Solution to Two-Dimensional Burgers-Korteweg-De Vries Equation

Authors

Xiaoqian Gong, University of Texas-Pan American

Date of Award

8-2013

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Zhaosheng Feng

Second Advisor

Dr. Andras Balogh

Third Advisor

Dr. Cristina Villalobos

Abstract

In this thesis, we study the Two-Dimensional Burgers-Korteweg-de Vries (2D-BKdV) equation by analyzing the equivalent Abel equation, which indicates that under some particular conditions, the 2D-BKdV equation has a unique bounded traveling wave solution. By using the theorem of contractive mapping, a traveling wave solution to the 2D-BKdV equation is expressed explicitly. In the end, the behavior of the proper solution of the 2D-BKdV equation is established by applying the comparison theorem of differential equations.

Comments

Copyright 2013 Xiaoqian Gong. All Rights Reserved.

https://www.proquest.com/dissertations-theses/traveling-wave-solution-two-dimensional-burgers/docview/1459462080/se-2

Granting Institution

University of Texas-Pan American