Theses and Dissertations
Date of Award
5-2022
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics
First Advisor
Dr. Vesselin Vatchev
Second Advisor
Dr. Sergey Grigorian
Third Advisor
Dr. Dambaru Bhatta
Abstract
In this thesis, we relate multi-soliton waves generated by the 'good' Boussinesq equation to the distribution functions in the classical linear Schrödinger equation. The linear Schrödinger equation describes the distribution of a particle or particles in a particular environment. The Schrödinger equation is linear, the superposition principle of the solutions, especially the eigenfunctions is nonlinear and we will show that we may observe similar behavior in the solutions of the Boussinesq equations for soliton waves. The work extends the study of two-soliton solutions to the Boussinesq equation to the case of three-soliton solutions. The methods can be easily extended to n-solitons.
Recommended Citation
Gonzalez, Aldo, "A Decomposition Formula for the Multi-Soliton Solutions to the 'Good' Boussinesq Equation" (2022). Theses and Dissertations. 1047.
https://scholarworks.utrgv.edu/etd/1047
Comments
Copyright 2022 Aldo Gonzalez. All Rights Reserved.
https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/dissertations-theses/decomposition-formula-multi-soliton-solutions/docview/2699743016/se-2?accountid=7119