A Nakamula, K Obuse, N Sawado, K Shimasaki, Y Shimazaki, Y Suzuki, K Toda. Discovery of Quasi-Integrable equations from traveling-wave data using the Physics-Informed Neural Networks. Physica Scripta. 2025
Kaoru Miyamoto, Atsushi Nakamula. Analytic approach for computation of topological number of integrable vortex on torus. Journal of High Energy Physics. 2024