Abstract
One-Parameter Continuous Transformation Groups Admitted by Differential Equations: One-Parameter Continuous Transformation Group Infinitesimal Operator of the Group Invariants and Invariant Manifolds Theory of Prolongation Groups Admitted by Differential Equations Lie Algebra of Operators Lie Algebras and Local Lie Groups: Lie Algebra Adjoint Algebra Local Lie Group Subgroup, Normal Subgroup and Factor Group Inner Automorphisms of a Group and of Its Lie Algebra Local Lie Group of Transformations Group Invariant Solutions of Differential Equations: Invariants of R-Parameter Group Invariant Manifolds Invariant Solutions of Differential Equations Classification of Invariant Solutions Partially Invariant Solutions Reduction of Partially Invariant Solutions Some Problems.
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