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Symmetries and first integrals in the mechanics of infinite-dimensional systemsThe first integrals of the equation of motion by using elements of nonlinear functional analysis

On symmetries and conservation laws for some differential equationsOn symmetries and conservation laws for some differential equations

Time Symmetry Preserving Perturbations of Differential SystemsWe derive an equation for perturbations of differential systems preserving the shift operator along

On Variational Symmetries and Conservation Laws of a Fifth-order Partial Differential EquationIn the paper, we obtain conservation laws for a fifth-order partial differential equation

Symmetry Analysis of Radial Profiles of Magnetic Skyrmions of the widely used ansatzs based on a symmetry analysis of the 1D analog of the EL equations, which

Symmetries of Differential Ideals and Differential EquationsThe paper deals with differential rings and partial differential equations with coefficients

Symmetries of Linear and Nonlinear Partial Differential EquationsHigher symmetries and operator symmetries of linear partial differential equations are considered

Hyperbolicity of first order quasi-linear equations one for partial quasi-linear differential equations of first order is proved

Algorithmic verification of linearizability for ordinary differential equationsFor a nonlinear ordinary differential equation solved with respect to the highest order derivative

The projective geometric theory of systems of second-order differential equations: Straightening and symmetry theorems the form of differential equations for the coefficients of the system or are stated in terms of symmetries

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