190 citations · 1.1k across the 82 of their papers we have counts for
21 papers · 1 filter
Miura transformation for the "good'' Boussinesq equation
Christophe Charlier, Jonatan Lenells
It is well-known that each solution of the mKdV equation gives rise, via the Miura transformation, to a solution of the KdV equation. In this work, we show that a similar Miura-typ…
A new approach to integrable evolution equations on the circle
A. S. Fokas, J. Lenells
We propose a new approach for the solution of initial value problems for integrable evolution equations in the periodic setting based on the unified transform. Using the nonlinear…
On the non-chiral intermediate long wave equation II: periodic case
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
We study integrability properties of the non-chiral intermediate long wave (ncILW) equation with periodic boundary conditions. The ncILW equation was recently introduced by the aut…
On the non-chiral intermediate long wave equation
Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
We study integrability properties of the non-chiral intermediate long wave equation recently introduced by the authors as a parity-invariant variant of the intermediate long wave e…
The KdV equation on the half-line: Time-periodicity and mass transport
Jerry L. Bona, Jonatan Lenells
The work presented here emanates from questions arising from experimental observations of the propagation of surface water waves. The experiments in question featured a periodicall…
Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line
L. K. Arruda, J. Lenells
We derive asymptotic formulas for the solution of the derivative nonlinear Schrödinger equation on the half-line under the assumption that the initial and boundary values lie in th…