1 citations · 1 across the 4 of their papers we have counts for
4 papers
A Modified Center-of-Mass Conservation Law in Finite-Domain Simulations of the Zakharov--Kuznetsov Equation
Nobuyuki Sawado, Yuichiro Shimazaki
We investigate conservation laws of the two-dimensional Zakharov--Kuznetsov (ZK) equation, a natural higher-dimensional and non-integrable extension of the Korteweg--de Vries equat…
PINNs Study for the Bekki-Nozaki Chaos in the Non-linear Schrödinger equation
N. Sawado, Y. Shimazaki, Y. Suzuki
In this paper we study chaotic behavior in the forced dissipative non-linear Schrödinger equation, so called the Bekki-Nozaki equation. Chaotic systems are often seen in a strong s…
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…
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…