On Approximating Solitary Wave Solutions for the Classical Euler Equations

Author

Julio C. Paez, The University of Texas Rio Grande Valley

Date of Award

5-2022

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Vesselin Vatchev

Second Advisor

Dr. Jerzy Mogilski

Third Advisor

Dr. Dambaru Bhatta

Abstract

In this paper, we use a method based on Hirota substitution or the Wronskian method to find approximate solitary wave solutions to the classical Euler equations. This method uses a small parameter lambda as the basis of approximation, a parameter derived from the form of prospective solutions we consider, rather than the standard small parameters alpha and beta. The L-infinity norm and asymptotic notation are used to measure the accuracy of the approximation rather than finding the error explicitly.

Comments

Copyright 2022 Julio C. Páez. All Rights Reserved.

https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/dissertations-theses/on-approximating-solitary-wave-solutions/docview/2711520288/se-2?accountid=7119

Recommended Citation

Paez, Julio C., "On Approximating Solitary Wave Solutions for the Classical Euler Equations" (2022). Theses and Dissertations. 1086.
https://scholarworks.utrgv.edu/etd/1086