The Coupled Modified Korteweg-de Vries Equations

Generalization of the modified KdV equation to a multi-component system, that is expressed by $(\partial u_i)/(\partial t) + 6 (\sum_{j,k=0}^{M-1} C_{jk} u_j u_k) (\partial u_i)/(\partial x) + (\partial^3 u_{i})/(\partial x^3) = 0, i=0, 1, ..., M-1$, is studied. We apply a new extended version of the inverse scattering method to this system. It is shown that this system has an infinite number of conservation laws and multi-soliton solutions. Further, the initial value problem of the model is solved.Comment: 26 pages, LaTex209 file, uses jpsj.st

Reconciling the stratigraphy and depositional history of the Lycian orogen-top basins, SW Anatolia

Terrestrial fossil records from the SWAnatolian basins are crucial both for regional correlations and palaeoenvironmental reconstructions. By reassessing biostratigraphic constraints and incorporating new fossil data, we calibrated and reconstructed the late Neogene andQuaternary palaeoenvironments within a regional palaeogeographical framework. The culmination of the Taurides inSWAnatolia was followed by a regional crustal extension from the late Tortonian onwards that created a broad array of NE-trending orogen-top basins with synchronic associations of alluvial fan, fluvial and lacustrine deposits. The terrestrial basins are superimposed on the upper Burdigalian marine units with a c. 7 myr of hiatus that corresponds to a shift from regional shortening to extension. The initial infill of these basins is documented by a transition from marginal alluvial fans and axial fluvial systems into central shallow-perennial lakes coinciding with a climatic shift from warm/humid to arid conditions. The basal alluvial fan deposits abound in fossil macro-mammals of an early Turolian (MN11–12; late Tortonian) age. The Pliocene epoch in the region was punctuated by subhumid/humid conditions resulting in a rise of local base levels and expansion of lakes as evidenced by marsh-swamp deposits containing diverse fossilmammal assemblages indicating late Ruscinian (lateMN15; late Zanclean) ageWe are grateful for the support of the international bilateral project between The Scientific and Technological Research Council of Turkey (TUBITAK) and The Russian Scientific Foundation (RFBR) with grant a number of 111Y192. M.C.A. is grateful to the Turkish Academy of Sciences (TUBA) for a GEBIP (Young Scientist Award) grant. T.K. and S.M. are grateful to the Ege University Scientific Research Center for the TTM/002/2016 and TTM/001/2016 projects. M.C.A., H.A., S.M. and M.B. have obtained Martin and Temmick Fellowships at Naturalis Biodiversity Center (Leiden). F.A.D. is supported by a Mehmet Akif Ersoy University Scientific Research Grant. T.A.N. is supported by an Alexander-von-Humboldt Scholarship. L.H.O. received support from TUBITAK under the 2221 program for visiting scientists

Special Issue: 11th International Statistics Days Conference

[No abstract available

Modeling and Dynamic Behavior Analysis of Magnet Defect Signatures in Permanent Magnet Synchronous Motors

In this paper, a motor specific fault severity assessment method is proposed to calculate the amplitude of magnet defect fault signatures in the stator current and back-electromotive force (EMF) through machine and controller parameters of permanent magnet synchronous motor (PMSM) drive. A detailed mathematical analysis is developed based on the linear model of PMSM to predict the behavior of fault signatures in motor variables at various operating points. In order to understand and decouple the effects of motor controllers and operating points, the derivations are further extended to clarify the effects of current loop gains. Under the light of findings, the fault severity impact on the current and back-EMF fault signatures is investigated exhaustively. For this purpose, the fault intensity imposed to a motor is increased in four steps by removing 25% of one magnet at each step. Throughout each fault level, the changes in the corresponding spectrums are analyzed, which provides an essential information to design accurate threshold tominimize false alarms. The theoretical derivations are validated through comparative finite element analysis (FEA) simulations and experiments

Age-related changes in the peripheral retinal nerve fiber layer thickness

Gözde Hondur,1,2 Emre Göktaş,1 Lama Al-Aswad,1 Gülgün Tezel1 1Department of Ophthalmology, Columbia University, College of Physicians and Surgeons, New York, NY, USA; 2Department of Ophthalmology, Ulucanlar Training and Research Hospital, Ankara, Turkey Purpose: This pilot cross-sectional study aimed to determine age-related changes of the retinal nerve fiber layer (RNFL) thickness in retinal periphery by swept-source optical coherence tomography-based analysis.Methods: Forty eyes of 40 healthy subjects were studied in three age groups, group 1 (20–40 years, n=15), group 2 (41–60 years, n=14), and group 3 (≥61 years, n=11). Wide-angle swept-source optical coherence tomography scans, including the optic disc and macula, were montaged with the nasal peripheral optical coherence tomography images acquired with a contralateral gaze. The peripapillary and peripheral RNFL thickness values were obtained for nasal and temporal sides. The ratio of peripheral-to-peripapillary RNFL thickness was also calculated for these sectors.Results: We detected a significantly thinner RNFL in older than younger subjects at a distance of 6 mm from the optic disc on nasal and temporal sides (P<0.001). An age-related reduction in peripheral-to-peripapillary RNFL thickness ratios (P<0.001 and P<0.02 for nasal and temporal sides, respectively) was also detected.Conclusion: The age-related decline should be taken into consideration when determining the glaucoma-related alterations in peripheral RNFL thickness. Continued analysis in patients with ocular hypertension and glaucoma should help determine whether RNFL in the periphery with lower nerve tissue reserve might be more susceptible to injury, whether injury to the peripheral RNFL might be easier to detect, and/or whether analysis of the peripheral RNFL thickness could improve clinical diagnosis and follow-up of glaucoma. Keywords: age, glaucoma, retinal nerve fiber layer thickness, swept-source optical coherence tomograph

An Investigation of Motor Topology Impacts on Magnet Defect Fault Signatures

This paper presents a study on the topology-dependent magnet defect fault signatures in permanent-magnet motors. A new analytical approach is introduced to characterize the fault signatures in stator back electromotive force (EMF) and current waveforms using magnetic equivalent circuit. Stator winding configuration, winding connection type and location of damaged rotor magnets are some of the physical properties affecting the fault signature characteristics. Several cases with different number of pole and slot are investigated through the proposed method. In addition, different winding connections (including star and delta connection), different winding configurations (including single and double layer, fractional and full coil pitch), and different magnet defect number and location are scrutinized. It is shown that there are some cases exhibiting different fault patterns than the ones obtained through well-known fault models defined in the literature. It is essential to take these discrepancies into account in order to avoid false alarms. In addition, it is observed that some of the fault signatures show up in the stator back EMF spectrum but not in the current spectrum due to location and severity of magnet defect, and design specs. Comparative 2-D finite-element simulations and experimental results justify the theoretical magnet defect fault analysis and show the efficacy of the proposed approach

Influence of biochar on growth and mineral concentrations of pepper

Biochar can get from every biomass material and carbonization of the total mass of organisms. Determining the most suitable dose of the biochar to increase nutrient concentrations of pepper and also determine whether used with chemical fertilizers or not was the aim of the study. In this study, biochar was used either with or without chemical fertilizers. Biochar was applied as 0, 10, 20, 40 t۰ha-1 into two liter pots containing two kilogram of soil. N-P-K was applied as 100 mg۰kg-1 N, 100 mg kg-1 P and 125 mg۰kg-1 K respectively. Leaf N, P, K, Fe, Mn, Cu, and Zn concentrations, soil pH, EC and organic material and plant dry weight were determined in the study. As a result, while biochar combined with chemical fertilizers, the soil pH and organic material increased, soil EC decreased, plant N, P, K, Fe, Mn and dry weight increased. Soil P and K concentrations also increased with the applications. From the results of the study, biochar could be used with chemical fertilizers to increase yield and concentrations of nutrients of pepper