most citedEquations of motion in odd-dimensional spaces and T-, C-invariance

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math-ph2002

Continuity Equation in Nonlinear Quantum Mechanics and the Galilei Relativity Principle

Wilhelm I. Fushchych, Vyacheslav M. Boyko

Classes of the nonlinear Schrodinger-type equations compatible with the Galilei relativity principle are described. Solutions of these equations satisfy the continuity equation.

math-ph2002

Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields

Wilhelm I. Fushchych, Ivan M. Tsyfra, Vyacheslav M. Boyko

We construct nonlinear representations of the Poincare, Galilei, and conformal algebras on a set of the vector-functions . A nonlinear complex equation of Euler…