J. Lenells

most citedThe derivative nonlinear Schrödinger equation on the half-line

15 citations · 26 across the 4 of their papers we have counts for

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nlin.SI2008★ 15 cited

The derivative nonlinear Schrödinger equation on the half-line

Jonatan Lenells

We analyze the derivative nonlinear Schrödinger equation $i q_{t} + q_{xx} = i (∣ q ∣^{2} q)_{x}$ on the half-line using the Fokas method. Assuming that the solution $q (x, t)$ exists, we show…

nlin.SI2003

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.