Réseau de Toda

Dynamics of soliton crystals in optical microresonators

Tobias Kippenberg, Junqiu Liu, Maxim Karpov, Martin Hubert Peter Pfeiffer, Hairun Guo, Wenle Weng

Dissipative Kerr solitons in optical microresonators combine nonlinear optical physics with photonic-integrated technologies. They are promising for a number of applications ranging from optical coherent communications to astrophysical spectrometer calibra ...

NATURE PUBLISHING GROUP2019

Convergence To Stratified Flow For An Inviscid 3D Boussinesq System

Klaus Martin Widmayer

We study the stability of special, stratified solutions of a 3D Boussinesq system describing an incompressible, inviscid 3D fluid with variable density (or temperature, depending on the context) under the effect of a uni-directional gravitational force. Th ...

INT PRESS BOSTON, INC2018

The Geometric Nature of the Flaschka Transformation

Tudor Ratiu, François Gay-Balmaz

We show that the Flaschka map, originally introduced to analyze the dynamics of the integrable Toda lattice system, is the inverse of a momentum map. We discuss the geometrical setting of the map and apply it to the generalized Toda lattice systems on semi ...

Springer Verlag2017

Intermode Breather Solitons in Optical Microresonators

Tobias Kippenberg, Junqiu Liu, Maxim Karpov, Martin Hubert Peter Pfeiffer, Hairun Guo, Erwan Guillaume Albert Lucas, Miles Henry Anderson, John David Jost, Michael Wolfgang Geiselmann

Dissipative solitons can be found in a variety of systems resulting from the double balance between dispersion and nonlinearity, as well as gain and loss. Recently, they have been observed to spontaneously form in Kerr nonlinear microresonators driven by a ...

American Physical Society2017