Integrable Equation with No Solitary Traveling Waves

Author

Miguel Rodriguez, The University of Texas Rio Grande Valley

Date of Award

8-2021

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Zhijun Qiao

Second Advisor

Dr. Vesselin Vatchev

Third Advisor

Dr. Dambaru Bhatta

Abstract

We consider the negative order KdV (NKdV) hierarchy which generates nonlinear integrable equations. Selecting different seed functions produces different evolution equations. We apply the traveling wave setting to study one of these equations. Assuming a particular type of solution leads us to solve a cubic equation. New solutions are found, but none of these are classical solitary traveling wave solutions.

Comments

Copyright 2021 Miguel Rodrigue.z All Rights Reserved.

https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/dissertations-theses/integrable-equation-with-no-solitary-traveling/docview/2600352669/se-2?accountid=7119

Recommended Citation

Rodriguez, Miguel, "Integrable Equation with No Solitary Traveling Waves" (2021). Theses and Dissertations. 954.
https://scholarworks.utrgv.edu/etd/954