keywords: current algebra, Bogolubov generating functional, collective variables representation, Hamiltonian operator reconstruction

keywords: quantum algorithms, symplectic structures, dynamical systems, connections, Lax type integrable flows, holonomy groups, Grassmann manifolds, quantum computers

keywords: charged fermionic medium, quantum superradiance model, Bethe eigenstates, quantum solitons, renormalization, quantum inverse spectral problem, Yang-Baxter identity, conservation laws

keywords: non linear operator equation, Leray-Schauder type theorem, fixed point theory, solution set analysis

keywords: conservation laws, symplectic and symmetry analysis, vorticity invariants, Hamiltonian and Poissonian structures, MHD superfluid equations, Peradzynski helicity theorem

keywords: Lax type integrability, vertex operator representation, Lax integrability, lie algebraic approach

keywords: characteristics method, Hopf-Lax representation, Leray-Schauder type fixed point theory, non canonical Hamilton-Jacobi equation

keywords: Lagrangian and Hamiltonian formalisms, Lorentz type force, Lorenz constraint, Maxwell electromagnetic equations, Jefimenko equations, radiation theory, vacuum field theory approach, Amper law, Feynman's approach legacy

keywords: asymptotic analysis, Lax integrability, conserved quantities, Burgers type system, differential algebraic approach, symmetry recursion operator, commuting infinite hierarchies of dynamical systems

keywords: differential rings, differential constraints, representation of differentials, non linear vector fields, conserved quantities, lax type integrability

keywords: gradient-holonomic algorithm, discretization schemes, finite dimensional symplectic reduction approach, lax type representation, discrete nonlinear Schrodinger dynamical system

keywords: invariant measures, generalized Boole type transformations, arithmetic properties, ergodic dynamical systems, Frobenius-Perron operator