2 papers
nlin.SI2025
Vector systems of Painlevé type
V. E. Adler, V. V. Sokolov
The group reduction procedure is applied to vector generalizations of the NLS, mKdV, and KdV equations. The resulting ODE systems admit isomonodromic Lax representations and are mu…
math.AP2025
Homogenization of parabolic problems for non-local convolution type operators under non-diffusive scaling of coefficients
Andrey Piatnitski, Elena Zhizhina
We study homogenization problem for non-autonomous parabolic equations of the form with an integral convolution type operator that has a non-symmetric j…