Exponentially Localized Solutions of Mel'nikov Equation

The Mel'nikov equation is a (2+1) dimensional nonlinear evolution equation admitting boomeron type solutions. In this paper, after showing that it satisfies the Painlev\'{e} property, we obtain exponentially localized dromion type solutions from the bilinearized version which have not been reported so far. We also obtain more general dromion type solutions with spatially varying amplitude as well as induced multi-dromion solutions.Comment: 12 pages, 2 figures, to appear in Chaos, Solitons and Fractal

Simulation of old open clusters for UVIT on ASTROSAT

Ultra Violet Imaging Telescope (UVIT) is one of the payloads on the first Indian multi wavelength satellite ASTROSAT expected to be launched by Indian Space Research Organisation (ISRO) in the year 2015. We have performed simulations of UV studies of old open clusters for the UVIT. The colour magnitude diagrams (CMDs) and spatial appearances have been created using 10 filters of FUV channel (130 - 180 nm) and NUV channel (200 - 300nm) available for observations on the UVIT, for three old open clusters M67, NGC 188 and NGC 6791. The CMDs are simulated for different filter combinations, and they are used to identify the loci of various evolutionary sequences, white dwarfs, blue stragglers, red giants, sub giants, turn off stars and the main sequence of the clusters. The present work helps in identifying the potential area of study in the case of three old open clusters, by considering the availability of filters and the detection limits of the instrument. We also recommend filter combinations, which can be used to detect and study the above mentioned evolutionary stages. The simulations and the results presented here are essential for the optimal use of the UVIT for studies of old open clusters.Comment: Accepted for publication in RAA; 25 pages, 19 figures, 1 tabl

Periodic and Localized Solutions of the Long Wave-Short Wave Resonance Interaction Equation

In this paper, we investigate the (2+1) dimensional long wave-short wave resonance interaction (LSRI) equation and show that it possess the Painlev\'e property. We then solve the LSRI equation using Painlev\'e truncation approach through which we are able to construct solution in terms of three arbitrary functions. Utilizing the arbitrary functions present in the solution, we have generated a wide class of elliptic function periodic wave solutions and exponentially localized solutions such as dromions, multidromions, instantons, multi-instantons and bounded solitary wave solutions.Comment: 13 pages, 6 figure

Commutative Medial Near Ring

We deliberate a substructure of a near ring called mediality so as to create a new platform, on which many of the properties like commutativity, regular, idempotent and zero symmetric are applied with. It is shown that every medial near ring is commutative whenever cancellation law holds. Commutative medial near ring is left medial, right medial, reverse, reverse medial, reverse left medial and reverse right medial. It is proved that a non-trivial left medial regular near ring is reduced. Also, a structure theorem has been obtained

Understanding Youth Delinquency through Young Writers

When problems are crowded upon the present generation they get retire into the works of modern writers as they seek for love and emotions. The writers write about their despair, failures, experiences and the reality is enriched with the language to renew the truth of life and this aspect attracts the mass as they understand the pulse of the readers since the readers are active participants. Now- a- days everything is digitalized, in this digital era, the young people are competing with machines, they react with the things and thingness; the superficiality, fragmentariness, multiplicity as each possess their own set of values and over-arching truth to bear drives them to further understanding of liberal-democratic advance. Readers find refuge in the works and delve deeply into the novels they read to get rejuvenated and refreshed. A book can change reader’s life. When youngsters fail in their perspective and find difficult to comprehend the most intricate feelings to the previous age group they quietly submit to the realm of these writers and enjoy reading the books of these writers as they will get to see their own replica in the sort of characters. This paper attempts to analyze the novels of young writers’ i.e. Chetan Bhagat, Durjoy Dutta, Maanvi Ahuja, Ravinder Singh, Anurag Garg and Gunjan Narang and gives the picture of present generation and their style of living with senses, rule-less and pictures of the notion of ‘eclecticism’. Doestoevsky commented “Love has a meaning and the search for meaning in existentialism is search for self.” (Anish 2011: 45). Let the readers search the self and get insight from the experiences dealt by the writers