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Stripe solitons are long solitary wave filaments which can be found in a variety of multidimensional contexts, e.g., in shallow water waves, Bose-Einstein condensates, and ferromagnetic materials. In a recent paper published in Physical Review B, a theory for modulations of a two-dimensional magnetic soliton filament, known as the bion...

A widely celebrated feature of nonlinear optical materials is their support of optical solitons鈥攍ocalized, propagating pulses that maintain their shape over large distances. Light propagating in an optical fiber can be modeled effectively by the nonlinear Schr枚dinger equation (NLS), which can be cast into a hydrodynamic (fluid-like) system by a...

Following the recent article on the dispersive hydrodynamic formulation of magnetization dynamics in thin film ferromagnets, Ezio Iacocca and Mark Hoefer explore the effect of finite-sized obstacles in this context. Thin film ferromagnets support uniform hydrodynamic states (UHSs) that can be parametrized by a fluid density and velocity. UHSs share...

Solid-state magnetic materials are intrinsically dynamic, stemming from the forces that act at the nanoscale and favor a macroscopic, collective order. In the case of a thin film ferromagnet, effectively a two dimensional magnetic medium, the equation describing its can be cast as a set of dispersive hydrodynamic equations. Remarkably,...

Patrick Sprenger and Mark Hoefer publish a new paper in SIAM Journal of Applied Mathematics . The paper, Shock waves in dispersive hydrodynamics with non-convex dispersion , identifies new dispersive shock wave structures admitted by the fifth order Kawahara equation, a universal model for dispersive hydrodynamic systems with higher order...

As the year comes to an end, the Dispersive Hydrodynamics Laboratory reflects on a successful 2016. The lab was involved in Applied Mathematics鈥� first CU Wizards show, a 30+ year CU tradition. CU Wizards is a monthly, interactive show for children. The program brings the 鈥渕agic of science鈥� to kids...

Michelle Maiden and Mark Hoefer were published in Proceedings of the Royal Society A . Their paper, Modulations of viscous fluid conduit periodic waves , presents a theoretical investigation of the stability and dynamics of periodic waves in the viscous fluid conduit system. New coherent wave structures called envelope solitons...

Professor Mark Hoefer has been published in the esteemed physics journal Physical Review Letters. The journal publishes 鈥渟hort, high quality reports of significant and notable results in the full arc of fundamental and interdisciplinary physics research鈥�. The publication, Observation of Dispersive Shock Waves, Solitons, and Their Interactions in Viscous Fluid...

On the Christmas Eve of 2011, Mark Hoefer received an email linking one of his theories to experiments taking place in Gothenburg, Sweden. It was a momentous occasion. During his time with the National Institute of Standards and Technology (NIST) as a postdoctoral fellow, Professor Hoefer and colleagues had proposed...

Hoefer received in 2013 and continues to receive funding. Thus far, three publications have been produced as a result of the research. Hoefer said that, 鈥淚 received the Career award in 2013 to study nonlinear wave dynamics theoretically and experimentally. The grant led to the formation of the Dispersive Hydrodynamics...