THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION: A SURVEY OF RECENT RESULTS

By Panayotis G. Kevrekidis, K. Rasmussen, A. Bishop. 2001

339 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/991ba845f44b11fd92585cbb65f8db501b226f85

How researchers see this paper

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

In Mathematical Physics

1. Dmitry E. Pelinovsky
2. Dimitri J. Frantzeskakis
3. Boris A. Malomed
4. Nikos I. Karachalios
5. Athanasios N. Yannacopoulos
6. Panayotis G. Kevrekidis
7. Bixiang Wang

In Statistical and Nonlinear Physics

1. Boris A. Malomed
2. L. Torner
3. Y. Kartashov
4. Dimitri J. Frantzeskakis
5. Dmitry E. Pelinovsky
6. Panayotis G. Kevrekidis
7. Nikos I. Karachalios
8. Athanasios N. Yannacopoulos

Citations in the corpus

• Global existence and compact attractors for the discrete nonlinear Schrödinger equation (2005, methodology): “Finally, we propose possible extensions for various types of DNLS equations.”
• Solitons in nonlinear lattices (2010, background): “In fact, this stability pattern is typical for solitons in discrete and quasi-discrete systems [see an earlier review by Kevrekidis, Rasmussen, and Bishop (2001), and a recent book by Kevrekidis (2009)].”
• Stability of discrete solitons in nonlinear Schrödinger lattices (2005, background): “This large range of models and applications has been summarized by now in a variety of reviews such as [13, 14, 15, 16, 17].”