Periodic nonlinear Schr\"odinger equation with application to photonic crystals
A. Pankov
TL;DR
This paper explores solutions to the periodic nonlinear Schrödinger equation, highlighting new findings and their relevance to nonlinear optics, while discussing unresolved questions in the field.
Contribution
It provides new results on solutions of the periodic nonlinear Schrödinger equation and connects these to applications in nonlinear optics.
Findings
New solutions to the periodic nonlinear Schrödinger equation
Application insights for nonlinear optics
Discussion of open problems in the field
Abstract
We present basic results, known and new, on nontrivial solutions of periodic stationary nonlinear Schr\"odinger equations. We also sketch an application to nonlinear optics and discuss some open problems.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Advanced Mathematical Modeling in Engineering · Nonlinear Photonic Systems