Nonlinear Waves Seminar

Integrable Dynamics of Soliton Gases Gennady El Department of Mathematical Sciences , Loughborough University Date and time: Tuesday, September 9, 2014 - 4:00pm Location: ECCR 226 Abstract: Nonlinear dispersive waves, while often being successfully modeled by integrable systems (KdV, NLS, ...) can demonstrate very complex behaviours calling for a statistical...

Modeling of Organic Photovoltaics: Charge Transport, Charge Transfer Kinetics, and Exciton Dynamics Sean Shaheen Department of Electrical, Computer, and Energy Engineering , University of Colorado Boulder Date and time: Tuesday, April 29, 2014 - 4:30pm Location: ECOT 226 Abstract: Organic Photovoltaic (OPV) devices, which utilize polymeric or molecular materials as...

Traveling Waves in Elastic Rods with Arbitrary Curvature and Torsion Silvana De Lillo Department of Mathematics and Computer Science , Università degli Studi di Perugia Date and time: Tuesday, April 8, 2014 - 4:00pm Location: ECOT 226 Abstract: The dynamic Kirchhoff equations, describing a thin elastic rod of infinite length,...

Traveling edge waves in optical honeycomb lattices Yiping Ma Applied Mathematics , University of Colorado Boulder Date and time: Tuesday, March 18, 2014 - 4:00pm Location: ECOT 226 Abstract: Light propagation in photonic lattices is described by nonlinear Schrodinger equations with periodic potentials. In the case when the potential takes...

Discrete Schlesinger Equations and Difference Painlevé Equations. Anton Dzhmay School of Mathematical Sciences , University of Northern Colorado Date and time: Tuesday, March 4, 2014 - 4:30pm Location: ECOT 226 Abstract: The theory of Schlesinger equations describing isomonodromic dynamic on the space of matrix coefficients of a Fuchsian system w.r.t...

Singularity and Integrability Please Note Time Rod Halburd Department of Mathematics , University College London Date and time: Tuesday, February 18, 2014 - 5:00pm Location: ECOT 226 Abstract: The nature of singularities of solutions of equations has long been used as a tool for detecting integrability. For ordinary differential equations...

The modulational instability revisited Gino Biondini Department of Mathematics , SUNY Buffalo Date and time: Wednesday, February 5, 2014 - 2:00pm Location: ECCR 257 Abstract: The modulational instability (MI), known as Benjamin-Feir instability in water waves, is one of the most widespread phenomena in nonlinear science. In many cases, the...

Geometry and Asymptotics Nalini Joshi School of Mathematics and Statistics , University of Sydney Date and time: Tuesday, January 21, 2014 - 2:00pm Location: ECOT 226 Abstract: Techniques of algebraic geometry and resolution of singularities that allow us to analyse asymptotic behaviors of nonlinear differential and difference equations will be...

Dispersive shock waves and shallow ocean-wave line-soliton interactions Douglas Baldwin Applied Mathematics , University of Colorado Boulder Date and time: Tuesday, October 29, 2013 - 4:00pm Location: ECOT 226 Abstract: Many physical phenomena are understood and modeled with nonlinear partial differential equations (PDEs). A special subclass of these nonlinear PDEs...

Bäcklund Transformations for Equations of Sine-Gordon Type Thomas Ivey Department of Mathematics visiting scholar, University of Colorado Boulder Date and time: Tuesday, October 22, 2013 - 4:00pm Location: ECOT 226 Abstract: A geometric formulation of Bäcklund transformations between wavelike Monge-Ampere equations (for one function of two variables) leads to an...