Simulating DNLS models
arXiv:1304.16082 citationsh-index: 13
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For researchers studying Hamiltonian systems like the DNLS, this work provides a practical comparison of symplectic integration techniques.
The paper introduces and compares symplectic numerical methods for solving the Discrete Nonlinear Schrödinger equation, demonstrating their performance and accuracy through extensive simulations.
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.