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Applications may include the Vlasov-Maxwell coupled system of equations. (cid:16) Fj xj xj + 1 2 Quantum nonlinear Schr odinger linearization formulation FTol Theo [Llo+20]. Formulation of ODEs/PDEs of the type dx/dt + f (x)x = b(t), with f = x mF x m, as nonlinear Schr odinger equations. Potential applications of the method may include the Navier-Stokes equation, plasma hydrodynamics, epidemiology. Madelung transform for nonlinear relativistic uids Num [Hat+19], NISQ Exp [Zyl+22]. The Madelung equations are an alternative formulation to the Schr odinger equation, written in terms of hydrodynamical variables, with the addition of the Bohm quantum potential Q t m + ( mu) = 0, du dt = tu + u u = 1 m (Q + V )
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