297 citations · 416 across the 23 of their papers we have counts for
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New axisymmetric equilibria with flow from an expansion about the generalized Solov'ev solution
A. I. Kuiroukidis, D. A. Kaltsas, G. N. Throumoulopoulos
We construct analytic solutions to the generalized Grad-Shafranov equation, which incorporates both toroidal and poloidal flows. This is achieved by adopting a general linearizing…
Multi-soliton solutions and data-driven discovery of higher-order Burgers' hierarchy equations with physics informed neural networks
D. A. Kaltsas, L. Magafas, P. Papadopoulou +1
The Burgers hierarchy consists of nonlinear evolutionary partial differential equations (PDEs) with progressively higher-order dispersive and nonlinear terms. Notable members of th…
Constrained Hamiltonian Systems and Physics-Informed Neural Networks: Hamilton-Dirac Neural Networks
Dimitrios A. Kaltsas
The effectiveness of the Physics Informed Neural Networks (PINNs) for learning the dynamics of constrained Hamiltonian systems is demonstrated using the Dirac theory of constraints…
A similarity reduction of the generalized Grad-Shafranov equation
A. I. Kuiroukidis, D. A. Kaltsas, G. N. Throumoulopoulos
We extend previous work [Y. E. Litvinenko, Phys. Plasmas 17, 074502 (2010)] on a direct method for finding similarity reductions of partial differential equations such as the Grad-…