Graduation Year
2007
Document Type
Thesis
Degree
M.A.
Degree Granting Department
Mathematics
Major Professor
Wen-Xiu Ma, Ph.D.
Committee Member
Yuncheng You, Ph.D.
Committee Member
Athanassios G. Kartsatos, Ph.D.
Keywords
The tanh method, PDE, KdV, Solitary wave, Wave equation
Abstract
In this thesis, first the tanh method, a method for obtaining exact traveling wave solutions to nonlinear differential equations, is introduced and described. Then the method is applied to two classes of Nonlinear Partial Differential Equations. The first one is a system of two (1 + 1)-dimensional nonlinear Korteweg-de Vries (KdV) type equations. The second one is a (3 + 1)-dimensional nonlinear wave equation. At the end, a few graphic representations of the obtained solitary wave solutions are provided, in correspondence to different values of the parameters used in the equations.
Scholar Commons Citation
Grupcev, Vladimir, "Symbolic Computations of Exact Solutions to Nonlinear Integrable Di®erential Equations" (2007). USF Tampa Graduate Theses and Dissertations.
https://digitalcommons.usf.edu/etd/3866
