MATLAB code for numerical simulation of charge transfer by stationary and moving discrete breathers in nonlinear lattices modeled with semi-classical Hamiltonian dynamics. Using the code and developed explicit and semi-implicit structure-preserving splitting methods, please cite Bajārs, J., Archilla, J.F.R.: Splitting methods for semi-classical Hamiltonian dynamics of charge transfer in nonlinear lattices. Mathematics 10(19), 3460 (2022), DOI:10.3390/math10193460.
File SplittingMethods_PureCode_WithoutData.zip contains pure code without precomputed data and images.
This research has been financially supported by the specific support objective activity 1.1.1.2. “Post-doctoral Research Aid” of the Republic of Latvia (Project No. 1.1.1.2/VIAA/4/20/617 “Data-Driven Nonlinear Wave Modelling”), funded by the European Regional Development Fund (project id. N. 1.1.1.2/16/I/001).
- To perform a numerical simulation, run the file
main.m. - Initial conditions and the choice of the numerical method are set in the same file
main.m. - All parameter values are defined in the file
Parameter_Values.m. - All variables are initialized in the file
Define_Variables.m. - For convenience, all parameter values and variables are stored in structures:
parmandvars, respectively. - All functions and numerical methods can be found and are defined in the folder
Functions. - Optionally, simulation data and figures can be saved in the following folders:
SavedDataandFigures, respectively.