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