Analysis of the Global Relation for the Nonlinear Schrödinger Equation on the Half-line

By Anne Boutet de Monvel, A. S. Fokas, Dmitry Shepelsky. 2003

96 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d74dafe2cb1fc4ddf104f5179b8f599becbfce38

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Dmitry Shepelsky
2. A. S. Fokas
3. Anne Boutet de Monvel
4. Shou‐Fu Tian
5. Jonatan Lenells
6. Mark J. Ablowitz
7. Ziad Musslimani
8. Yan Rybalko

In Statistical and Nonlinear Physics

1. Dmitry Shepelsky
2. Anne Boutet de Monvel
3. A. S. Fokas
4. Jonatan Lenells
5. Shou‐Fu Tian
6. Justin Holmer
7. Beatrice Pelloni
8. B. Guo

Citations in the corpus

• Integrable Nonlinear Evolution Equations on a Finite Interval (2006, methodology): “A dramatic simplification was announced in [8] where it was shown that the global relation can be effectively analyzed if one introduces a Gelfand-Levitan-Marchenko representation for the eigenfunction of the t-part of the Lax pair evaluated at x = 0. If this eigenfunction is denoted by (�1(t,k),�2(”
• The nonlinear Schrödinger equation on the half-line (2004, unknown): “Note added in proof : An important simplification regarding the characterization of the unknown boundary values has been reported in [34,35].”