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Full-Text Articles in Physical Sciences and Mathematics
Soliton Solutions Of The Nonlinear Schrödinger Equation., Erin Middlemas
Soliton Solutions Of The Nonlinear Schrödinger Equation., Erin Middlemas
Undergraduate Honors Theses
The nonlinear Schrödinger equation is a classical field equation that describes weakly nonlinear wave-packets in one-dimensional physical systems. It is in a class of nonlinear partial differential equations that pertain to several physical and biological systems. In this project we apply a pseudo-spectral solution-estimation method to a modified version of the nonlinear Schrödinger equation as a means of searching for solutions that are solitons, where a soliton is a self-reinforcing solitary wave that maintains its shape over time. The pseudo-spectral method estimates solutions by utilizing the Fourier transform to evaluate the spatial derivative within the nonlinear Schrödinger equation. An ode …
Exploring The Properties Of Mira-Type Stars With Spectropolarimetry., Alyssa M. Adams
Exploring The Properties Of Mira-Type Stars With Spectropolarimetry., Alyssa M. Adams
Undergraduate Honors Theses
Mira-type stars are luminous red giants that have pulsation periods that last anywhere between 100 and 700 days. The irregular behavior of their periods and atmospheric properties flag them as excellent candidates for astrophysical studies of non-spherical stars. This paper focuses on the linear polarization of light emitted from three Mira- type stars: Mira itself, R Leo, and V CVn. Polarimetric data from the University of Wisconsin’s Half-Wave Spectropolarimeter (HPOL) database, as well as other archives of polarimetric data, provide us with insight into the atmospheric and geometrical prop- erties of these three stars. We were able to study the …