In this paper, we introduce the concept and representation of modified $\lambda$-differential
Lie triple systems. Next, we define the cohomology of modified $\lambda$-differential Lie …

In this paper, the notion of generalized Reynolds operators on Lie-Yamaguti algebras is
introduced, and the cohomology of a generalized Reynolds operator is established. The formal …

This research gives a complete Lie group classification of the one‐dimensional nonlinear
delay Klein–Gordon equation. First, the determining equations are derived and their complete …

In this paper, we first introduce the notion of generalized Reynolds operators on Hom-Lie triple
systems associated to a representation and a 3-cocycle. Then, we develop a cohomology …

The group analysis method is applied to the two‐dimensional nonlinear Klein–Gordon equation
with time‐varying delay. Determining equations for equations with a time‐varying delay …

This paper proposes an algorithm for group classification of a nonhomogeneous equation
using the group analysis provided for the corresponding homogeneous equation. The …

In this paper, we consider compatible Hom-Lie triple systems. Compatible Hom-Lie triple
systems are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie …

The terahertz (THz)-based thickness measurement of thermal barrier coatings (TBCs)
demands smart determination of THz peaks instead of human intervention for efficiency and …

In this paper, we first introduce the notion of relative Rota-Baxter operators on Hom-Lie-Yamaguti
algebras and give some characteristics of relative Rota-Baxter operators in terms of …

The key point of mining safety is backfill stability in the mine which used in the filling method.
And the backfill also could control the ground pressure and constrain the surrounding rock …