Nonlinear Waves Seminar
- Amir Sagiv, Department of Applied Mathematics, Columbia UniversityFloquet Hamiltonians - effective gaps and resonant decayFloquet topological insulators are an emerging category of materials whose properties are transformed by time-periodic forcing
- Igor Rumanov, Department of Applied Mathematics, (2+1)-dimensional Whitham systems: 2dNLS and KP vs. ‘hydrodynamic’ systems in one and two spatial dimensionsThe main result of this talk is the recently obtained Whitham
- Samuel Ryskamp, Department of Applied Mathematics, Modulation theory for Miles resonance and Mach reflectionMach reflection occurs when a sufficiently large amplitude line soliton interacts with a barrier at a
- Yi Zhu, Department of Mathematical Sciences, Tsinghua University, ChinaThree-fold Weyl points for the periodic Schrödinger operatorWeyl points are degenerate points on the spectral bands at which energy bands intersect conically. They are the
- Patrick Sprenger, Department of Mathematics, North Carolina State UniversityTraveling wave solutions of the Kawahara equationThe Kawahara equation is an asymptotic model of weakly nonlinear wave phenomena when third and fifth order dispersion are in
- Speaker: Dr. Thibault CongyAffiliation: University of Northumbria, Newcastle, UKTitle: Dispersive Riemann problem for the Benjamin-Bona-MahonyequationAbstract:The Benjamin-Bona-Mahony (BBM) equation $u_t + uu_x = u_{xxt}$ as
- Justin Cole, Department of Mathematics, University of Colorado Colorado SpringsTransverse Instability of Rogue WavesRogue waves, or “freak waves”, are large amplitude waves that suddenly appear and then disappear. Originally the subject of folklore
- Sean Nixon, Department of Applied Mathematics, Analytical study of Floquet topological insulatorsThe search for novel phenomena in photonic waveguides centers on engineering systems that feature unique dispersive
- Vera Hur, Department of Mathematics, University of IllinoisStokes waves in a constant vorticity flow: theory and numericsStokes in the 1800s made many contributions about periodic waves at the surface of water, under the influence of gravity,
- Thibault Congy; Department of Mathematics, Physics, and Electrical Engineering; University of Northumbria; Newcastle, UKBidirectional soliton gasThe soliton structure plays a fundamental role in many physical systems due to its fundamental feature: