We describe a method to construct well-posed initial value problems (IVPs) for not necessarily integrable equations on not necessarily simply connected quad-graphs. Although the method does not always provide a well-posed IVP (not all quad-graphs admit well-posed IVPs) it is effective in the class of rhombic embeddable quad-graphs.
Funding
This research has been supported by the Australian Research Council grant DP110100077, and the LaTrobe University Discipline Research Program for Mathematical & Computing Sciences.
History
Publication Date
2015-01-21
Journal
Journal of Physics A: Mathematical and Theoretical