MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint

Semiclassical Limit of the Focusing Nonlinear Schrödinger Equation under Barrier Initial Data

Spyridon Kamvissis


We study the semiclassical behavior of the focusing nonlinear Schrödinger equation in 1+1 dimensions under discontinuous "barrier" initial data and we describe the violent oscillations arising in terms of theta functions. The construction of proofs relies on the analysis of the associated Riemann-Hilbert factorization problem.

Feb 20, 2005
Feb 20, 2005
semiclassical, nonlinear schrödinger equation, riemann-hilbert problems

Related publications

2005 Repository Open Access
Spyridon Kamvissis

Semiclassical limit of the focusing nonlinear Schrödinger equation under barrier initial data