Professor | Researcher Mathematical Physics |
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.
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About Stefani Mancas
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.
| Present | Professor, Embry-Riddle Aeronautical University ‐ Department of Mathematics | |
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Disciplines
Research Interests
Mathematical Physics: quantum mechanics, fractional derivatives, general relativity, differential geometry, cosmology and inflation, ODEs: nonlinear dynamical systems, bifurcation theory, Riccati and Abel equations, special functions, elliptic equations, PDEs: nonlinear evolution equations, soliton interactions, nonlinear waves, and nonlinear optics
Contact Information
Department of Mathematics
Embry-Riddle Aeronautical University
1 Aerospace Blvd.
Daytona Beach, FL 32114
