The Discrete Nonlinear Schr\"odinger equation - 20 Years on

By J. Eilbeck, M. Johansson. 2002

189 citations recorded by the source corpus.

We review work on the Discrete Nonlinear Schr\"odinger (DNLS) equation over the last two decades.

Subfields: Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b3cc11d5ddcd7ae921ffb4c113d3431a6d6ab72f

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In Statistical and Nonlinear Physics

1. Sergej Flach
2. Yuri Kivshar
3. Andrey Gorbach
4. Jianshe Yu
5. Zhan Fang Zhou

Citations in the corpus

• Optical vortices and vortex solitons (2004, background): “3) correspond to the vortex-like soliton clusters have been analyzed only for symmetric configurations (Eilbeck, Lomdahl, and Scott [1985]; Eilbeck and Johansson [2003]), and even then some important solutions have been missed.”
• Discrete breathers — Advances in theory and applications (2008, background): “One of the simplest discrete lattice models, which deserves special attention, is represented by the Discrete Nonlinear Schrödinger (DNLS) equation [89], which is a lattice generalization of the dimer example (1.”