This systematic literature review synthesises and critically evaluates the emergent body of research applying computational methods to the study of conflict and peace in South Sudan. It examines how data science, machine learning, natural language processing, and spatial analysis are being utilised to model conflict dynamics, track ceasefire violations, analyse hate speech and media narratives, and evaluate humanitarian interventions. The review identifies predominant methodological trends, key data sources, and significant gaps in the literature, such as the underutilisation of local language data and limited integration of computational findings with qualitative peacebuilding frameworks. It concludes by proposing a future research agenda that emphasises ethical data practices, interdisciplinary collaboration, and the development of context-sensitive computational tools to support sustainable peace processes.