Traveling Wave Solutions for the Negative Order Hierarchy of the D-Akns Equations

Author

Brayton Isaac Wario, The University of Texas Rio Grande Valley

Date of Award

8-2022

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Zhijun Qiao

Second Advisor

Dr. Vesselin Vatchev

Third Advisor

Dr. Andras Balogh

Abstract

In the thesis work, based on the D-AKNS spectral problem, we study the negative-order D-AKNS (ND-AKNS) hierarchy. In particular, the first ND-AKNS equation is derived from the negative-order D-AKNS hierarchy, which is proved integrable in the sense of Lax pair. Furthermore, we discuss the traveling wave solutions to the ND-AKNS Equation, including possible soliton solutions.

Comments

Copyright 2022 Brayton Isaac Wario. All Rights Reserved.

https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/dissertations-theses/traveling-wave-solutions-negative-order-hierarchy/docview/2748393879/se-2?accountid=7119

Recommended Citation

Wario, Brayton Isaac, "Traveling Wave Solutions for the Negative Order Hierarchy of the D-Akns Equations" (2022). Theses and Dissertations. 1112.
https://scholarworks.utrgv.edu/etd/1112