190 citations · 1.1k across the 82 of their papers we have counts for
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On a novel integrable generalization of the nonlinear Schrödinger equation
J. Lenells, A. S. Fokas
We consider an integrable generalization of the nonlinear Schrödinger (NLS) equation that was recently derived by one of the authors using bi-Hamiltonian methods. This equation is…
An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons
J. Lenells, A. S. Fokas
We analyze initial-boundary value problems for an integrable generalization of the nonlinear Schrödinger equation formulated on the half-line. In particular, we investigate the so-…
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…
On the N=2 Supersymmetric Camassa-Holm and Hunter-Saxton Equations
Jonatan Lenells, Olaf Lechtenfeld
We consider N=2 supersymmetric extensions of the Camassa-Holm and Hunter-Saxton equations. We show that they admit geometric interpretations as Euler equations on the superconforma…
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…
A bi-Hamiltonian supersymmetric geodesic equation
Jonatan Lenells
A supersymmetric extension of the Hunter-Saxton equation is constructed. We present its bi-Hamiltonian structure and show that it arises geometrically as a geodesic equation on the…