Integrability of two-dimensional polynomial differential systems
Bifurcations of nested invariant tori and invariant sets of Lotka-Volterra differe...
Darboux integrability and characteristic webs of PDEs
Cluster algebras and integrable systems
Scaling investigation in dynamical systems
Investigation of dynamical properties in nonlinear systems
Decay estimates for semilinear hyperbolic equations
The project proposes to study Darboux integrability for semihamiltonian systems of hydrodynamic type and the relation of integrability with Laplace transformations. (AU)