In Part I soliton solutions to the ABS list of multi-dimensionally consistent difference equations (except Q4) were derived using connection between the Q3 equation and the NQC equations, and then by reductions. In that work central role was played by a Cauchy matrix. In this work we use a

Controlling the collective motion of interacting particles: analytical study via the nonlinear Fokker–Planck equation S. SavelÕev a,*

6. y′x = ay 2 + bxn. Special Riccati equation, n is an arbitrary number. 1◦. Solution for n ≠ = −2: y = − 1 a w′x

By studying the internal Riemannian geometry of the surfaces of constant negative scalar curvature, we obtain a natural map between the Liouville and the sine–Gordon equations. First, considering isometric immersions into the Lobachevskian plane, we obtain an uniform expression for the general

This study of spatio-temporal pattern formation in an annulus is motivated by two physical problems on vastly dierent scales. The rst is atmospheric convec-tion in the equatorial plane between the warm surface of the Earth and the cold tropopause, modeled by the two dimensional Boussinesq equations

In the present work, a diffusion model was applied to estimate the boron diffusion coefficients in the FeB and Fe2B layers during the pack-boriding of AISI D2 steel in the temperature range of 12231323 K during a variable exposure time between 1 and 8 h. The mass balance equations were formulated

Abstract. The study of existence of solutions of boundary-value problems for di¤erential inclusions Bu(x) 2 E a.e. x 2; u(x) = '(x) for all x 2 @; where ' 2 C1 piec ( ; RN), is an open subset of Rn, E Rm n is a compact set, and B is a m n-valued …rst order di¤erential operator, is undertaken. As an application, minima of the energy for large magnetic bodies Z E(m): = ['(m) hhe; mi] dx + 1

the whole boun-dary of the heart using slant elliptic equation curve fitting. For heart positioning on the lateral image, the top and bottom boundary obtained from A-P image can be inherited. The proposed method was tested on a clinical routine dataset of 30 cas-es (30 A-P scout images and 30 lateral scout

, and intensity. The Lidar equation describes the received optical power in terms of the emitted power, range, and target properties. Nonetheless, the intensity values do not follow this prescribed behaviour. Therefore, data driven approaches are used, allowing a better prediction of the observed intensity from

Abstract. The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation is fuzzy matrix and X ∈ R n×m is unknown,by applying a special algorithm based on a class of ABS algorithms called Huang algorithm. At first, we transform this system to an (mn) × (mn) fuzzy