Details

Autor(en) / Beteiligte

• Fromm, Samuel

Titel

Construction of solutions of the defocusing nonlinear Schrödinger equation with asymptotically time‐periodic boundary values

Ist Teil von

• Studies in applied mathematics (Cambridge), 2019-11, Vol.143 (4), p.404-448

Ort / Verlag

Cambridge: Blackwell Publishing Ltd

Erscheinungsjahr

2019

Link zum Volltext

Quelle

EBSCOhost Business Source Ultimate

Beschreibungen/Notizen

• We study the defocusing nonlinear Schrödinger equation in the quarter plane with asymptotically periodic boundary values. We use the unified transform method, also known as the Fokas method, and the Deift‐Zhou nonlinear steepest descent method to construct solutions in a sector close to the boundary whose leading behavior is described by a single exponential plane wave. Furthermore, we compute the subleading terms in the long‐time asymptotics of the constructed solutions.