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Seminaria w jednostkach

• Nieprzemienne wiązary boolowskie i gdzie ich szukać w świecie afinicznym
  dr Bernard Rybołowicz,
  Katedra Algebry i Geometrii, 2025-06-11 godz. 11:30 - 13:00
• Generalized symmetry and reductions of nonlinear partial differential equations
  dr hab. Ivan Tsyfra, AGH, Wydział Matematyki Stosowanej
  Zakład Fizyki Matematycznej, 2025-06-13 godz. 9:45 - 11:15
  The method of conditional (nonclassical) symmetry, which is a generalization of the classical one, is presented. Exact solutions of nonlinear wave and heat equations are obtained with the help of this method. These solutions cannot be obtained within the framework of the classical Lie approach. The method is extended to non-point symmetry operators. Using the nonlinear wave equation as an example, it is shown that conditional symmetry operators can be used to construct the Lie–Bäcklund transformations. We also apply the inverse symmetry reduction method to reduce and find solutions of the nonlinear 4-dimensional Plebanski equation (the second heavenly equation).

Ostatnio wydane publikacje

1. U. Ostaszewska, E. Schmeidel, M. Zdanowicz
   Existence of solutions to nonlinear 2n-th order discrete boundary value problem via variational method
   Discrete Contin. Dyn. Syst. (B) 30 (2025), no. 11, 4417-4425.
   DOI: 10.3934/dcdsb.2025070
2. A. Dobrogowska, M. Szajewska
   Construction of Low-Dimensional Lie Algebras versus Eigenproblem
   Exp. Math. (2025), (on-line first).
   DOI: 10.1080/10586458.2025.2492792
3. I. M. Tsyfra, T. Czyżycki
   Algebraic method of linearization of the fully nonlinear second order PDEs
   Commun. Nonlinear Sci. Numer. Simul. 147 (2025), 1-12, (article number: 108817).
   DOI: 10.1016/j.cnsns.2025.108817
4. A. Dobrogowska
   Lie algebras and eigenvalue problems
   J. Phys.: Conf. Ser. 2986 (2025), 1-7.
   DOI: 10.1088/1742-6596/2986/1/012012
5. T. Goliński, F. Pelletier
   Regulated curves on a Banach manifold and singularities of endpoint map. I. Banach manifold structure
   Differ. Geom. Appl. 99 (2025), 1-21, (article number: 102245).
   DOI: 10.1016/j.difgeo.2025.102245