Pat Sprenger
Graduate Student

ECOT 218

My research primarily consists ofÌýusing analytical, asymptotic,Ìýand numerical tools to investigate qualitative features of nonlinear dispersive wave phenomena,ÌýincludingÌýdispersive shock waves and solitary waves. My current work is investigating these structures in the context of bothÌýshallow water and magnetic surface spin waves. For more information regarding current and published work, please see the manuscripts listed below. Feel free to contact me if you have any questions or suggestions.Ìý

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PS and M. A. Hoefer.ÌýShock waves in dispersive hydrodynamics with non-convex dispersion.ÌýÌý77, 26–50 (2017)Ìý()

Janantha, PA Praveen, PS, Mark A. Hoefer, and Mingzhong Wu. Observation of Self-Cavitating Envelope Dispersive Shock Waves in Yttrium Iron Garnet Thin Films.Ìý 119, no. 2 (2017): 024101. ()

PS, M. A. Hoefer, and G. A El. Hydrodynamic Optical Soliton Tunneling.ÌýÌý97 (2018):Ìý032218. ()

M. A. Hofer, N. F. Smyth, and PS.ÌýModulation theory solution for nonlinearly resonant, fifth orderÌýKorteweg-de Vries non-classical traveling dispersive shock waves.Ìý(submitted)

PS, M. A. Hofer, E. Iacocca.ÌýNonlocal dipole effects on spin density waves.Ìý()Ìý

K. L. Oliveras, PS, and V. Vasan.ÌýStability of periodic traveling waves with a constant vorticity.Ìý(in preparation)Ìý