J. Lenells

activity

20032026

most citedOn a novel integrable generalization of the nonlinear Schrödinger equation

190 citations · 1.1k across the 82 of their papers we have counts for

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Showing 2014 · math.APShow all

3 papers · 2 filters

math.AP2014

The defocusing nonlinear Schrödinger equation with $t$ -periodic data: New exact solutions

Jonatan Lenells

We consider solutions of the defocusing nonlinear Schrödinger (NLS) equation on the half-line whose Dirichlet and Neumann boundary values become periodic for sufficiently large $t$ …

math.AP2014★ 15 cited

The nonlinear Schrödinger equation with $t$ -periodic data: I. Exact results

J. Lenells, A. S. Fokas

We consider the nonlinear Schrödinger equation on the half-line with a given Dirichlet (Neumann) boundary datum which for large $t$ tends to the periodic function $g_{0}^{b} (t)$ ($g_1^…

math.AP2014★ 1 cited

Admissible boundary values for the defocusing nonlinear Schrödinger equation with asymptotically time-periodic data

Jonatan Lenells

We consider solutions of the defocusing nonlinear Schrödinger equation in the quarter plane whose Dirichlet boundary data approach a single exponential $α e^{iω t}$ as $t \to \infty$ …

The defocusing nonlinear Schrödinger equation with t-periodic data: New exact solutions

The nonlinear Schrödinger equation with t-periodic data: I. Exact results

Admissible boundary values for the defocusing nonlinear Schrödinger equation with asymptotically time-periodic data

The defocusing nonlinear Schrödinger equation with $t$ -periodic data: New exact solutions

The nonlinear Schrödinger equation with $t$ -periodic data: I. Exact results