We can recast the Yang–Baxter equation as a triple product equation. Assuming the triple product to satisfy some algebraic relations, we can find new solutions of the Yang– Baxter equation. This program has been completed here for the simplest triple systems which we call octonionic and quaternionic. The solutions are of rational type. PAC: 03.65Fd. 02.90.+p

In this paper, we investigate a scalar field cosmological model of accelerating Universe with the simplest parametrization equation state parameter field. We use H(z) data, pantheon compilation SN Ia data and BAO to constrain parameters using χ2 minimization technique. obtain present values Hubble constant H0 as 66.2−1.34+1.42, 70.7−0.31+0.32 67.74−1.04+1.24 for H(z), + Pantheon respectively. a...

The problem of incompressible steady flow simulation around an airfoil is discussed. For some simplest airfoils (circular, elliptical, Zhukovsky airfoils) the exact solution is known from complex analysis. It allows to compute the intensity of vortex layer which simulates the airfoil. Some modifications of the vortex element method are proposed and test computations are carried out. It’s shown ...

A bstract We study a two-loop four-point function with one internal mass. This Feynman integral is of the simplest integrals depending on two elliptic curves. transform associated differential equation into an ε -form. entries equation, and in particular which depend both

This research paper targets the fractional Hirota’s analytical solutions–Satsuma (HS) equations. The conformable derivative is employed to convert system into a with an integer–order. extended simplest equation (ESE) and modified Kudryashov (MKud) methods are used construct novel solutions of considered model. solutions’ accuracy investigated by handling computational Adomian decomposition meth...

A discrete agent-based model on a periodic lattice of arbitrary dimension is considered. Agents move to nearest-neighbor sites by a motility mechanism accounting for general interactions, which may include volume exclusion. The partial differential equation describing the average occupancy of the agent population is derived systematically. A diffusion equation arises for all types of interactio...

where ε = μq, ε p q = μp. The systems for which small parameter has a fractional power were studied by V.K. Grigorenko in [1]. The case of the simple roots of the characteristic equations and the case of the equation having only one multiple n root were studied separately. Let us construct the asymptotic solution of the system (1) by the method of perturbed characteristic equation [2] for the c...

In this article we study the simplest one-dimensional transport equation ut + aux = f and study the implementation of the boundary condition using a penalty