Solitary Waves of Nonlinear Partial Differential Equations

Author

Christopher Schaller, College of the Holy Cross

Date of Creation

5-23-2013

Document Type

Departmental Honors Thesis - Restricted Access

Department

Mathematics

First Advisor

Steven Levandosky

Abstract

In this thesis we will explore solitary wave solutions to nonlinear wave equations, specifically the fifth-order Korteweg-de Vries equation and the Ostrovsky equation. A previously known solution for the fifth order KdV equation is found, though through a different process. Also, a method for approximating solutions to the Ostrovsky equation is found using a power series. Questions still remain regarding the convergence of this approximation.

Comments

Reader: Alisa DeStefano

Recommended Citation

Schaller, Christopher, "Solitary Waves of Nonlinear Partial Differential Equations" (2013). Math and Computer Science Honors Theses. 40.
https://crossworks.holycross.edu/math_honor/40