Stefani Mancas

Professor of Mathematics

  • Daytona Beach, College of Arts and Sciences, Mathematics

Personal profile

About

Stefani’s main research areas are finding analytical solutions to nonlinear dissipative equations that can be reduced through Darboux transformations to Riccati or Abel equations. The focus is on Schrödinger equation, for which Stefani is using methods based on factorization, and variational formulation together with ansatz reduction with global minimizers of objective functions, applied to supersymmetric quantum mechanics. Another important area of interest is the theory of elliptic functions with applications to nonlinear optics, soliton theory, quantum cryptography, as well as general relativity.

Disciplines

  • Applied Mathematics
  • Partial Differential Equations
  • Special Functions
  • Cosmology, Relativity, and Gravity
  • Dynamical Systems
  • Optics
  • Quantum Physics