Reaction-diffusion systems with a nonlinear rate of growth

Authors

Yubing Wan, University of Texas-Pan American

Date of Award

8-2009

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 the literature there are quite a few elegant approaches which have been proposed to find (he first integrals of nonlinear differential equations. Recently, the modified Prelle-Singer method for finding the first integrals of second-order nonlinear ordinary differential equations (ODEs) has attracted considerable attention. Many researchers used this method to derive the first integrals to various systems. In this thesis, we are concerned with the first integrals for reaction-diffusion systems with a nonlinear rate of growth. Under certain parametric conditions we express the first integrals explicitly by applying an analytical method as well as the modified Prelle-Singer method.

Comments

Copyright 2009 Yubing Wan. All Rights Reserved.

https://www.proquest.com/dissertations-theses/reaction-diffusion-systems-with-nonlinear-rate/docview/230576838/se-2

Granting Institution

University of Texas-Pan American