Year of Publication

2018

Season of Publication

Summer

Paper Type

Master's Thesis

College

College of Arts and Sciences

Degree Name

Master of Arts (MA)

Department

Mathematics & Statistics

NACO controlled Corporate Body

University of North Florida. Department of Mathematics and Statistics

First Advisor

Dr. Jose Franco

Second Advisor

Dr. Dan Dreibelbis

Third Advisor

Dr. Jae-Ho Lee

Department Chair

Dr. Richard F. Patterson

College Dean

Dr. George W. Rainbolt

Abstract

In PDEs with nontrivial Lie symmetry algebras, the Lie symmetry naturally yield Fourier and Laplace transforms of fundamental solutions. Applying this fact we discuss the semidirect product of the metaplectic group and the Heisenberg group, then induce a representation our group and use it to investigate the invariant solutions of a general differential equation of the form .

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