15 citations · 26 across the 4 of their papers we have counts for
4 papers
Exactly solvable model for nonlinear pulse propagation in optical fibers
Jonatan Lenells
The nonlinear Schrödinger (NLS) equation is a fundamental model for the nonlinear propagation of light pulses in optical fibers. We consider an integrable generalization of the NLS…
The derivative nonlinear Schrödinger equation on the half-line
Jonatan Lenells
We analyze the derivative nonlinear Schrödinger equation on the half-line using the Fokas method. Assuming that the solution exists, we show…
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms
Boris Khesin, Jonatan Lenells, Gerard Misiolek
We study an equation lying `mid-way' between the periodic Hunter-Saxton and Camassa-Holm equations, and which describes evolution of rotators in liquid crystals with external magne…
The scattering approach for the Camassa-Holm equation
Jonatan Lenells
We present an approach proving the integrability of the Camassa--Holm equation for initial data of small amplitude.