Sofus Lie

RESEARCH

ALGA carries out research and provides research projects in theory and applications of Lie group analysis in the following main areas:

I. Theory:

  • Perturbation methods and approximate symmetries
  • Equivalence groups: Invariants and symmetry classification of families of differential equations
  • Group analysis in theory of distributions and boundary value problems
  • Invariance principles in nonlinear modelling
  • Classical heritage of Lie group analysis: Developments in history and language

II. Applications:

  • Symmetries of differential and integro-differential equations and group methods of integration of systems of equations
  • Symmetry and conservation laws
  • Diffusion problems and wave propagation
  • Group analysis of mathematical models in nonlinear physics and engineering
  • Group analysis in biomathematics and ecology
  • Database in applied group analysis
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