On various solutions to a (2+1) dimensional general Camassa-Holm equation

Authors

Eric J. Tovar, University of Texas-Pan American

Date of Award

8-2015

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Zhijan Qiao

Second Advisor

Dr. Andras Balogh

Third Advisor

Dr. Zhaoshang Feng

Abstract

We study a (2+1)-dimensional generalized Camassa-Holm (2dgCH) equation with both quadratic and cubic nonlinearity. We derive a peaked soliton (peakon) solution and multi-peakon solutions. In particular, the two-peakon dynamical system is explicitly presented and their collisions are investigated in detail. We also find weak kink and kink-peakon interactional solutions. Furthermore, we study all possible smooth one-soliton solutions for the system.

Comments

Copyright 2015 Eric J. Tovar. All Rights Reserved.

https://www.proquest.com/dissertations-theses/on-various-solutions-2-1-dimensional-general/docview/1734467305/se-2?accountid=7119

Granting Institution

University of Texas-Pan American