Speaker: V.V. Sokolov (MIPT, Moscow)

Title: Integrable vector evolution equations

Date and time:  15.01.2025, 17:00 (GMT +03:00)

Abstract: We consider evolution equations of the form $U_t=\sum_{i=1}^n a_i U_i$, where $U(x,t)$ is a vector of arbitrary size, $U_i=\frac{\partial^i U}{\partial x ^ i}$ and the coefficients $a_i$ are functions of scalar products $(U_i, U_j)$. The symmetry approach to classification of scalar evolution equations is generalised to the case of such vector isotropic evolution equations.  A further generalisation to  the anisotropic case is proposed. Some examples and classification results are presented.

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com