On the Relation between Lie Symmetries and Prolongation Structures of Nonlinear Field Equations: Non-Local Symmetries

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Invariance and symmetry properties for PDEs on manifolds (58J70) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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Time-Dependent Recursion Operators and Symmetries ⋮ The \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation: nonlocal symmetries and interaction solutions ⋮ EXPLICIT SOLUTIONS TO THE KAUP–KUPERSHMIDT EQUATION VIA NONLOCAL SYMMETRIES ⋮ Use of optimal subalgebra for the analysis of Lie symmetry, symmetry reductions, invariant solutions and conservation laws of the (3 + 1)-dimensional extended Sakovich equation ⋮ Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation ⋮ Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs ⋮ Nonlocal symmetry constraints and exact interaction solutions of the (2+1) dimensional modified generalized long dispersive wave equation ⋮ NONLOCAL SYMMETRIES, COMPACTON EQUATIONS, AND INTEGRABILITY ⋮ Nonlocal symmetries and the Kaup–Kupershmidt equation

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