Simulating DNLS models

2013/04/05 by Mario Mulansky, Mulansky, Mario
Mathematics · Physics and Astronomy · #Computational Engineering #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Finance #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Numerical Analysis (math.NA) #Numerical methods for differential equations #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.1304.1608

openalex publication_date 2013/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Construction of higher order symplectic integrators

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