It has proved that nonlinear diffusion and bilateral filtering (BF) have a closed connection. Early effort and contribution are to find a generalized representation to link them by using adaptive filtering. In this paper a new further relationship between nonlinear diffusion and bilateral filtering is explored which pays more attention to numerical calculus. We give a fresh idea that bilateral ...

Discrete nonlinear Schröginger equation (DNLS) of the form, in dt = Cn+1 + Cn−1 χn[|Cn+1| + |Cn−1| − 2|Cn|]Cn is used to study the formation of stationary localized states in one dimensional system due to a single as well as a dimeric nonlinear impurity. The fully nonlinear chain is also considered. The stability of the states and its connection with the nonlinear strength is presented. Results...

Cylindrical nonlinear optics is a burgeoning research area which describes cylindrical electromagnetic wave propagation in nonlinear media. Finding new exact solutions for different types of nonlinearity and inhomogeneity to describe cylindrical electromagnetic wave propagation is of great interest and meaningful for theory and application. This paper gives exact solutions for the cylindrical n...

It has proved that nonlinear diffusion and bilateral filtering (BF) have a closed connection. Early effort and contribution are to find a generalized representation to link them by using adaptive filtering. In this paper a new further relationship between nonlinear diffusion and bilateral filtering is explored which pays more attention to numerical calculus. We give a fresh idea that bilateral ...

In the theory of linear H control, the strict bounded real lemma plays a critical role because it provides a connection between the stabilizing solutions to the H Riccati equations and the stability and disturbance attenuation of the closed loop system. Nonlinear versions of the strict bounded real lemma are also important in nonlinear H control theory. In this paper we investigate the extensio...

Adopting the pullback approach to Finsler geometry, the aim of the present paper is to provide intrinsic (coordinate-free) proofs of the existence and uniqueness theorems for the Chern (Rund) and Hashiguchi connections on a Finsler manifold. To accomplish this, we introduce and investigate the notions of semispray and nonlinear connection associated with a given regular connection, in the pullb...

PARTIAL-MOMENT-CONNECTION TO THE DECK IN MARINE OIL TERMINALS By Rakesh K. Goel, F.ASCE ABSTRACT This paper presents development of a simplified procedure for seismic evaluation of piles with partial-moment-connection typically used in marine oil terminals. The current seismic evaluation procedure of the piles in marine oil terminals includes monitoring material strains specified in the Marine ...