- Inverse scattering problems. .
- Studying of nonlinear completely integrable evolutional equations.
Long time asymptotics.
- Existence and solutions of the non-linear evolution equations and
variational problems.
- Homogenization of partial differential equations.
- Homogenization problems in porous media.
- Vortex motion in superfluids
and Bose-Einstein condensates.
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Modeling of the biological systems.