© 2018 by the authors. Pectin is a polymer with a core of alternating a-1,4-linked D-galacturonic acid and α-1,2-L-rhamnose units, as well as a variety of neutral sugars such as arabinose, galactose, and lesser amounts of ...

We construct the Laplace invariants for an equation with the leading partial derivative. We write defining equations in terms of the Laplace invariants. We obtain classes of equations admitting four-dimensional Lie algebras. ...

© 2019, Pleiades Publishing, Ltd. Laplace invariants are constructed for a fourth-order equation that is a generalization of the Hallaire equation. The determining equations are written in terms of these invariants.

© 2019 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim The present study is focused on the development of a composition based on three pectin metal complexes (NaMg-PG, NaZn-PG and NaCr-PG) at a mass ratio 7:0.3:0.001. It was ...