Measurement of soil saturated hydraulic conductivity, Ks, is normally affected by flow patterns such as macro pore; however, most current techniques do  not differentiate flow types, causing major problems in describing water and chemical flows within the soil matrix. This study compares eight models for scaling Ks and predicted matrix and macro pore Ks, using a database composed of 50 datasets...

Abstract In this paper, the numerical solution of a mixed derivative type Hunter–Saxton equation is addressed. A given discretized transforming it into system ODEs with use cubic trigonometric B-splines based differential quadrature method. The further solved using fifth-order optimized one-step hybrid block Three illustrations validate efficiency proposed scheme and show its better performance...

A nondispersive, conservative regularisation of the inviscid Burgers equation is proposed and studied. Inspired by a related shallow water system recently introduced Clamond Dutykh, new provides family Galilean-invariant interpolants between Hunter–Saxton equation. It admits weakly singular regularised shocks cusped traveling-wave weak solutions. The breakdown local smooth solutions demonstrate...

We introduce a natural class of multicomponent local Poisson structures $$\mathcal P_k + \mathcal P_1$$ , where is bracket order one and P_k$$ homogeneous odd $$k$$ under the assumption that has Darboux coordinates (Darboux–Poisson bracket) nondegenerate. For such brackets, we obtain general formulas in arbitrary coordinates, find normal forms (related to Frobenius triples), provide description...

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In this paper, we present an adaptive Gerchberg-Saxton algorithm for phase retrieval. One of the drawbacks of the original Gerchberg-Saxton algorithm is the poor results it yields for very bright images. In this paper we demonstrate how a dynamic phase retrieval approach can improve the correlation between the required image and the reconstructed image by up to 10 percent. The paper gives expli...

The detection of extra-solar terrestrial planets requires the use of space-based high-contrast imaging. Stellar photon noise as well as light thrown about by system aberrations necessitate the use of a high quality light suppression system and a method for wavefront correction. We present here a wavefront estimation scheme to be used with estimate-based correction for the shaped pupil coronagra...

measurement of soil saturated hydraulic conductivity, ks, is normally affected by flow patterns such as macro pore; however, most current techniques do  not differentiate flow types, causing major problems in describing water and chemical flows within the soil matrix. this study compares eight models for scaling ks and predicted matrix and macro pore ks, using a database composed of 50 datasets...