Symmetries and Exact Solutions of Nonlinear Dirac Equations

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dc.creatorFushchych, Wilhelm
dc.creatorZhdanov, Renat
dc.date2006-09-18
dc.date.accessioned2026-07-07T07:24:21Z
dc.date.available2026-07-07T07:24:21Z
dc.descriptionThe 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-theoretical, symmetry analysis construct wide families of classical solutions of the nonlinear Dirac, Yang-Mills, Maxwell-Dirac, Dirac-d'Alembert, d'Alembert-Hamilton equations; expound a new symmetry approach to variable separation in linear and nonlinear PDEs, which allows, in particular, to classify separable Schroedinger equations. The book offers a uniform and relatively simple presentation of a considerable amount of material that is otherwise not easily available. The basic part of the book contains original results obtained by the authors. It is sure to be of interest to mathematical and theoretical physicists, particularly those working on classical and quantum field theories and on nonlinear dynamical systems.
dc.descriptionelectronic version of the book published in 1997 by Institute of Mathematics, Kiev, Ukraine
dc.identifierhttps://arxiv.org/abs/math-ph/0609052
dc.identifierhttp://arxiv.org/abs/math-ph/0609052
dc.identifierMathematical Ukraina Publisher, Kyiv, 1997, 384 pp, ISSN 966-02-0144-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116316
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.titleSymmetries and Exact Solutions of Nonlinear Dirac Equations
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