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math-ph2006★ 1 cited
On reduction of multi-dimensional non-linear wave equation to two-dimensional equations
W. I. Fushchych, I. A. Yehorchenko
A condition of reduction of multidimensional wave equations to the two-dimensional equation is studied, and the necessary conditions of compatibility and exact solutions of the res…
math-ph2006★ 22 cited
Symmetries and Exact Solutions of Nonlinear Dirac Equations
Wilhelm Fushchych, Renat Zhdanov
The authors give a detailed information about symmetry (Lie, non-Lie, conditional) of nonlinear PDEs for spinor, vector and scalar fields; using advanced methods of group-theoretic…