Simulating DNLS models
Mario Mulansky
TL;DR
This paper reviews various symplectic numerical methods for solving the Discrete Nonlinear Schroedinger equation, comparing their efficiency and accuracy through extensive simulations.
Contribution
It introduces and compares multiple symplectic schemes specifically designed for the DNLS, providing guidance on their performance.
Findings
Symplectic methods improve numerical stability for DNLS.
Performance varies among different schemes based on accuracy and efficiency.
Extensive simulations demonstrate the strengths and weaknesses of each method.
Abstract
We present different techniques to numerically solve the equations of motion for the widely studied Discrete Nonlinear Schroedinger equation (DNLS). Being a Hamiltonian system, the DNLS requires symplectic routines for an efficient numerical treatment. Here, we introduce different such schemes in detail and compare their performance and accuracy by extensive numerical simulations.
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Taxonomy
TopicsNumerical methods for differential equations · Nonlinear Photonic Systems · Nonlinear Waves and Solitons