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math-ph2022★ 1 cited
On the covariant Hamilton-Jacobi formulation of Maxwell's equations via the polysymplectic reduction
Monika E. Pietrzyk, Cécile Barbachoux, Igor V. Kanatchikov +1
The covariant Hamilton-Jacobi formulation of Maxwell's equations is derived from the first-order (Palatini-like) Lagrangian using the analysis of constraints within the De~Donder-W…
math-ph2015★ 3 cited
On the Polysymplectic Integrator for the Short Pulse Equation
Monika E. Pietrzyk, Igor V. Kanatchikov
The polysymplectic analysis of the Short Pulse Equation known in nonlinear optics is used in order to construct a geometric polysymplectic integrator for it. The proposed scheme tu…