In the papers [1] and [2] some higher analogs of the nonlinear evolutionary equation of Korteweg– de Vries are considered. Some NEEs of the higher order are represented in handbook [3]. In the present paper we have constructed new types of NEEs of higher order. For their construction the methods of factorization and exact linearization were used (see [4–8]). In Section 2 the summary of results ...

We show that the linearization of all exact solutions of classical chiral gravity around the AdS3 vacuum have positive energy. Non-chiral and negative-energy solutions of the linearized equations are infrared divergent at second order, and so are removed from the spectrum. In other words, chirality is confined and the equations of motion have linearization instabilities. We prove that the only ...

Space manipulator systems are designed to have lightweight structure and long arms in order to achieve reduction of fuel consumption and large reachable workspaces, respectively. Such systems are subject to link flexibilities. Moreover, space manipulator actuators are usually driven by harmonic gear mechanisms which lead to joint flexibility. These types of flexibility may cause vibrations both...

We perform a linearization of the Poisson-Boltzmann (PB) density functional for spherical WignerSeitz cells that yields Debye-Hückel-like equations agreeing asymptotically with the PB results in the weak-coupling (high-temperature) limit. Both the canonical (fixed number of microions) as well as the semi-grand-canonical (in contact with an infinite salt reservoir) cases are considered and discu...

This paper is a numerical simulation of highly dispersive optical solitons in birefringent fibers with polynomial nonlinear form, which achieved for the first time. The algorithmic approach applied usage Laplace–Adomian decomposition scheme. Dark and bright soliton simulations are presented. error measure has very low count, thus, almost an exact replica such that analytically arise from govern...

Linearization technologies that can be used for linearizing RoF transmission are reviewed. Three main linearization methods, i.e. electrical analog linearization, optical linearization, and electrical digital linearization are presented and compared. Analog linearization can be achieved using analog predistortion circuits, and can be used for suppression of odd order nonlinear distortion compon...

We characterize the property of obtaining a solution to a convex program by minimizing over the feasible region a linearization of the objective function at any of its solution points (Minimum Principle Sufficiency). For the case of a monotone linear complementarity problem this MPS property is completely equivalent to the existence of a nondegenerate solution to the problem. For the case of a ...

Abstract Exact phase information is essential for the smooth operation of most modern power conversion devices. Software locked loop (SPLL) has favorable condition free design and high adaptability to gain frequency voltage quickly accurately. In this thesis, we analyze SPLL principle, obtain z-domain linearization model, then stability error linearized parameters o controller under z-domain, f...