A bit about waves
Throughout my studies, I've found nothing more ubiquitous than waves. They appear everywhere, from the largest cosmic scales, to the smallest quantum phenomena while also being hard to miss in our daily lives. They show up in tangible physical systems while also being useful in abstract mathematical constructs.
It's the most versatile model we have.
Publications and other reports
Raval, K., Aiaseh, N., Hosseini Dashtbayaz, N., Trichtchenko, O., & Wang, B. (2026). Soliton solutions to KdV and KP equations using physics-informed neural networks. Journal of Nonlinear Waves, 2, e23. doi:10.1017/jnw.2026.10050
Agesen, C., Bradford, S., Dikshit, A., Gupta, A., Morankar, B., Murphy, J., Raghunathan, N. N., Raval, K., Rogers, L. H., & Barra, V. (2026). Modeling and Stabilization of Transport-Dominated Flows. Graduate Student Mathematical Modeling Camp final report. arXiv:2607.22455.
Raval, K. (2025). On novel methods for the computation of free-surface waves. Master’s thesis, Western University.