3 papers
nlin.SI2025
Inelastic Scattering, Emergent Interactions of Solitons in the Zakharov-Kuznetsov Equation through Conservative and non-Conservative Physics-Informed Neural Networks
A. Nakamula, K. Obuse, N. Sawado +4
The Zakharov-Kuznetsov equation, originally a three dimensional mathematical model of plasma with a uniform magnetic field, is a direct extension of the KdV equation into higher di…
physics.flu-dyn2025
Discovery of Quasi-Integrable Equations from traveling-wave data using the Physics-Informed Neural Networks
A. Nakamula, K. Obuse, N. Sawado +4
Physics-Informed Neural Networks (PINNs) have emerged as a powerful tool for analyzing nonlinear partial differential equations and identifying governing equations from observation…
hep-th2024
Analytic Approach for Computation of Topological Number of Integrable Vortex on Torus
Kaoru Miyamoto, Atsushi Nakamula
An analytic method to calculate the vortex number on a torus is constructed, focusing on analytic vortex solutions to the Chern-Simons-Higgs theory, whose governing equation is the…