Exact solutions of the nonlinear Dirac equation in terms of Bessel, Gauss and Legendre functions and Chebyshev-Hermite polynomials

DOI10.1007/BF01071344zbMath0739.35084MaRDI QIDQ1813744

I. V. Revenko, Renat Zhdanov

Publication date: 25 June 1992

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

second order ordinary differential equationsExact solutions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) PDEs in connection with quantum mechanics (35Q40) Other special functions (33E99)

Related Items (2)

The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation ⋮ On the integral representation of solutions of Kolmogorov-type degenerate equations with \(\vec{2b}\)-parabolic part with respect to the main group of variables

Cites Work

• On some exact solutions of a system of non-linear differential equations for spinor and vector fields

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