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math-ph2026
The Maxwell class exact solutions to the Schrödinger equation and continuum mechanics models
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
By applying the nonlinear Legendre transform to the continuity equation, this paper derives exact solutions to the Schrödinger equation and the equations of continuum mechanics. A…
math-ph2025
Exact solutions for the relativistic dynamics of a self-consistent system with electromagnetic and gravitational interaction within the Wigner-Vlasov formalism
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
This work derives exact solutions to the problem of interacting particle density evolution in relativistic and quasi-relativistic approximations for electromagnetic and gravitation…