Approximate analysis solution of Burgers-KdV equation

Authors

Hani Aldirawi, University of Texas-Pan American

Date of Award

7-2015

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Zhaosheng Feng

Second Advisor

Dr. Andras Balogh

Third Advisor

Dr. Paul Bracken

Abstract

In this thesis, we study the Two-Dimensional Burgers-Kortewege-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.

Comments

Copyright 2015 Hani Aldirawi. All Rights Reserved.

https://www.proquest.com/dissertations-theses/approximate-analysis-solution-burgers-kdv/docview/1728065285/se-2?accountid=7119

Granting Institution

University of Texas-Pan American