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20012004
most citedSymmetry, Equivalence and Integrable Classes of Abel Equations

7 citations · 7 across the 3 of their papers we have counts for

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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…

math-ph2001

Differential Invariants and Application to Riccati-Type Systems

Roman Popovych, Vyacheslav Boyko

We generalize the classical Lie results on a basis of differential invariants for a one-parameter group of local transformations to the case of arbitrary number of independent and…