Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC

Peer reviewe

Pilot based MMSE Channel Estimation for Spatial Modulated OFDM Systems

Due to the multifold growth in demands of multimedia services and mobile data, the request for increased channel capacity in mobile and wireless communication has been quickly increasing. Developing a wireless system with more spectral efficiency under varying channel condition is a key challenge to provide more bit rates with limited spectrum. Multiple Input Multiple Output(MIMO) system with Orthogonal Frequency Division Multiplexing (OFDM) gives higher gain by using the direct and the reflected signals, thus facilitating the transmission at high data rate. An integration of Spatial Modulation (SM) with OFDM (SM OFDM) is a newly evolved transmission technique and has been suggested as a replacement for MIMO -OFDM transmission. In practical scenarios, channel estimation is significant for detecting transmitted data coherently. This paper proposes pilot based, Minimum Mean Square Error (MMSE) channel estimation for the SM OFDM communication system. We have focused on analyzing Symbol Error Rate (SER) and Mean Square error (MSE) under Rayleigh channel employing International Telecommunication Union (ITU) specified Vehicular model of Pilot based MMSE channel estimator using windowed Discrete Fourier Transform (DFT) and MMSE weighting function. Simulation output shows that proposed estimator’s SER performance lies close to that of  the MMSE optimal estimator in minimizing aliasing error and suppressing channel noise by using frequency domain data windowing and time domain weighting function. Usage of the Hanning window eliminates error floor and has a compact side lobe level compared to Hamming window and Rectangular window. Hanning window has a larger MSE at low Signal to Noise Ratio (SNR) values and decreases with high SNR values. It is concluded that data windowing technique can minimize the side lobe level and accordingly minimize channel estimation error when interpolation is done. MMSE weighting suppresses channel noise and improves estimation performance. Since Inverse Discrete Fourier Transform(IDFT)/DFT transforms can be implemented with fast algorithms Inverse Fast Fourier Transform( IFFT)/Fast Fourier Transform(FFT) computational complexity can be remarkably reduced

The Sasa-Satsuma higher order nonlinear Schrodinger equation and its bilinearization and multi-soliton solutions

Higher order and multicomponent generalizations of the nonlinear Schrodinger equation are important in various applications, e.g., in optics. One of these equations, the integrable Sasa-Satsuma equation, has particularly interesting soliton solutions. Unfortunately the construction of multi-soliton solutions to this equation presents difficulties due to its complicated bilinearization. We discuss briefly some previous attempts and then give the correct bilinearization based on the interpretation of the Sasa-Satsuma equation as a reduction of the three-component Kadomtsev-Petvishvili hierarchy. In the process we also get bilinearizations and multi-soliton formulae for a two component generalization of the Sasa-Satsuma equation (the Yajima-Oikawa-Tasgal-Potasek model), and for a (2+1)-dimensional generalization.Comment: 13 pages in RevTex, added reference

Molecular characterization of tospoviruses infecting Capsicum annuum L.

182-191Chilli (Capsicum annuum L) a prime vegetable cum spice crop is infected by tospoviruses, which has become a serious threat to it's cultivation worldwide. A survey was conducted for infection of tospoviruses on the basis of chlorotic and necrotic symptoms in chilli growing areas of Tamil Nadu. The symptomatic leaves were positive for tospovirus-specific antiserum tested through direct antigen coating - enzyme linked immunosorbent assay (DAC-ELISA), dot blot immunobinding assay (DIBA) and tissue blot immunobinding assay (TIBA). The samples with typical symptoms were successfully established for the chlorotic and necrotic lesions in assay host, cowpea and chilli upon artificial inoculation of tospoviruses. Further, an expected complementary DNA (cDNA) fragment sequence of about 840 bp and 1.2 kb were positively amplified using PCR correspond to coat protein (CP) gene of the respective viruses, which confirmed the presence of groundnut bud necrosis virus (GBNV), capsicum chlorosis virus (CaCV) in chilli. However, there is a lack of standard method to understand the genetic information of tospoviruses infecting chilli which requires the reliable, sensitive and specific method. To address this issue, we have investigated an application based on CP gene of GBNV and CaCV to perform molecular profiling. The nucleotide sequences of GBNV and CaCV showed maximum identity between the isolates and amino acid sequences had more than 90% similarity. However, superimposed 3D prediction structures constructed using MODELLER software revealed the single variation at 259th position comprising of glutamine and valine respectively. The protein profiling of CP gene provides the basic knowledge on properties of CP proteins of two tospoviruses infecting chilli and their structural relationships

Recasting Food: An Ethnographic Study on How Caste and Resource Inequality Perpetuate Social Disadvantage in India

Integrated Child Development Services (ICDS) is the principal programme operating in India to address issues around child development, malnutrition and pre-school education. A package of services – including the Supplementary Nutrition Programme (SNP), pre-school education, immunization, health check-ups, referral services, and nutrition and health education – are provided through an Anganwadi Centre (AWC) with an Anganwadi Worker (AWW) and an Anganwadi Helper (AWH) for roughly every one thousand people. From the mid-1990s, there have been successive efforts on the part of the Government of India to universalize ICDS, and there has been a multi-fold increase in funds allocated to this programme between the 8th Five-Year Plan (1992–93 to 1996–97) and the 12th Five-Year Plan (2012–17) (1-2). However, the utilization of all services under ICDS continues to be grossly low. Close to 75 percent of children aged 0–71 months in the areas covered by AWCs did not receive any supplementary food from the centres, and less than 12 percent of children received supplementary food ‘almost daily’. For children aged 36–71 months this figure is 15.5 percent. More than 80 percent of children were not weighed at all. It has been reported that children belonging to economically backward and socially marginalised families, including Dalit, tribal, and religious minorities, are excluded from utilising these services through unfavourable institutional rules and structural factors. Equally, members of well-off families do not use services provided by AWCs – especially the SNP – for under-6 children. A multi-sited ethnographic study was conducted in four villages in Gujarat in order to identify the reasons behind poor utilisation of AWCs, especially the SNP services. The study aimed to understand everyday experience of households around the SNP in rural settings and an opportunity to study AWCs as institutions embedded in the context of village cultural life. The authors hypothesise that a study focusing on AWCs could serve as an illustrative case to highlight challenges in implementing other entitlement-based programmes

Exact soliton solutions, shape changing collisions and partially coherent solitons in coupled nonlinear Schroedinger equations

We present the exact bright one-soliton and two-soliton solutions of the integrable three coupled nonlinear Schroedinger equations (3-CNLS) by using the Hirota method, and then obtain them for the general $N$-coupled nonlinear Schroedinger equations (N-CNLS). It is pointed out that the underlying solitons undergo inelastic (shape changing) collisions due to intensity redistribution among the modes. We also analyse the various possibilities and conditions for such collisions to occur. Further, we report the significant fact that the various partial coherent solitons (PCS) discussed in the literature are special cases of the higher order bright soliton solutions of the N-CNLS equations.Comment: 4 pages, RevTex, 1 EPS figure To appear in Physical Review Letter

Unraveling the tripartite interaction of volatile compounds of Streptomyces rochei with grain mold pathogens infecting sorghum

Sorghum is a major grain crop used in traditional meals and health drinks, and as an efficient fuel. However, its productivity, value, germination, and usability are affected by grain mold, which is a severe problem in sorghum production systems, which reduces the yield of harvested grains for consumer use. The organic approach to the management of the disease is essential and will increase consumer demand. Bioactive molecules like mVOC (volatile organic compound) identification are used to unravel the molecules responsible for antifungal activity. The Streptomyces rochei strain (ASH) has been reported to be a potential antagonist to many pathogens, with high levels of VOCs. The present study aimed to study the inhibitory effect of S. rochei on sorghum grain mold pathogens using a dual culture technique and via the production of microbial volatile organic compounds (mVOCs). mVOCs inhibited the mycelial growth of Fusarium moniliforme by 63.75 and Curvularia lunata by 68.52%. mVOCs suppressed mycelial growth and inhibited the production of spores by altering the structure of mycelia in tripartite plate assay. About 45 mVOCs were profiled when Streptomyces rochei interacted with these two pathogens. In the present study, several compounds were upregulated or downregulated by S. rochei, including 2-methyl-1-butanol, methanoazulene, and cedrene. S. rochei emitted novel terpenoid compounds with peak areas, such as myrcene (1.14%), cymene (6.41%), and c-terpinene (7.32%) upon interaction with F. moniliforme and C. lunata. The peak area of some of the compounds, including furan 2-methyl (0.70%), benzene (1.84%), 1-butanol, 2-methyl-(8.25%), and myrcene (1.12)%, was increased during tripartite interaction with F. moniliforme and C. lunata, which resulted in furan 2-methyl (6.60%), benzene (4.43%), butanol, 2-methyl (18.67%), and myrcene (1.14%). These metabolites were implicated in the sesquiterpenoid and alkane biosynthetic pathways and the oxalic acid degradation pathway. The present study shows how S. rochei exhibits hyperparasitism, competition, and antibiosis via mVOCs. In addition to their antimicrobial functions, these metabolites could also enhance plant growth.Peer reviewe

Conservation Laws in Higher-Order Nonlinear Optical Effects

Conservation laws of the nonlinear Schr\"{o}dinger equation are studied in the presence of higher-order nonlinear optical effects including the third-order dispersion and the self-steepening. In a context of group theory, we derive a general expression for infinitely many conserved currents and charges of the coupled higher-order nonlinear Schr\"{o}dinger equation. The first few currents and charges are also presented explicitly. Due to the higher-order effects, conservation laws of the nonlinear Schr\"{o}dinger equation are violated in general. The differences between the types of the conserved currents for the Hirota and the Sasa-Satsuma equations imply that the higher-order terms determine the inherent types of conserved quantities for each integrable cases of the higher-order nonlinear Schr\"{o}dinger equation

Completely integrable models of non-linear optics

The models of the non-linear optics in which solitons were appeared are considered. These models are of paramount importance in studies of non-linear wave phenomena. The classical examples of phenomena of this kind are the self-focusing, self-induced transparency, and parametric interaction of three waves. At the present time there are a number of the theories based on completely integrable systems of equations, which are both generations of the original known models and new ones. The modified Korteweg-de Vries equation, the non- linear Schrodinger equation, the derivative non-linear Schrodinger equation, Sine-Gordon equation, the reduced Maxwell-Bloch equation, Hirota equation, the principal chiral field equations, and the equations of massive Thirring model are gradually putting together a list of soliton equations, which are usually to be found in non-linear optics theory.Comment: Latex, 17 pages, no figures, submitted to Pramana