Explode-decay dromions in the non-isospectral Davey-Stewartson I (DSI) equation

In this letter, we report the existence of a novel type of explode-decay dromions, which are exponentially localized coherent structures whose amplitude varies with time, through Hirota method for a nonisospectral Davey-Stewartson equation I discussed recently by Jiang. Using suitable transformations, we also point out such solutions also exist for the isospectral Davey-Stewartson I equation itself for a careful choice of the potentials

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

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

The Epic Tradition in the Song Natrinai

The reason for the pride and richness of a language is due to the grammar and literature that have emerged in the eyes of that language. The epics occupy a significant place in those verses. Homer's Iliad and Odyssey, considered to be the oldest epics in the world, have also been written in accordance with the epic tradition of that language. Indian language epics are also written within the epic tradition of the regional languages. These include the five great and minor epics that have appeared in the Tamil language; the Kamba Ramayanam, the Periyapuranam, etc. However, if we examine whether the Sangam literature, viz., the songs and the thokai, falls within the epic tradition, the Agam and Puram songs contain at least a few of the epic traditions of the Dandiya author. It can be seen that the majority of the epic elements have been matched in the Kalitthokai and the Pathuppaattu Songs. This study is intended to examine how the epic traditions have adapted to the song that has been taken up for the subject matter of the study. In particular, this study has revealed whether the epic grammar of the Dandiya author has been followed

Miura Transformation between two Non-Linear Equations in 2+1 dimensions

A Dispersive Wave Equation in 2+1 dimensions (2LDW) widely discussed by different authors is shown to be nothing but the modified version of the Generalized Dispersive Wave Equation (GLDW). Using Singularity Analysis and techniques based upon the Painleve Property leading to the Double Singular Manifold Expansion we shall find the Miura Transformation which converts the 2LDW Equation into the GLDW Equation. Through this Miura Transformation we shall also present the Lax pair of the 2LDW Equation as well as some interesting reductions to several already known integrable systems in 1+1 dimensions.Comment: 14 pages, latex. Journal of Mathematical Physics (to appear

A study on correlation between bleeding pattern and histopathological findings of endometrium among perimenopausal women

Background: During climacteric, ovarian activity declines. Initially, ovulation fails, no corpus luteum forms, and no progesterone are secreted by the ovary. Therefore the premenopausal menstrual cycles are shortened, often anovulatory and irregular. The irregularity in menstrual cycle during perimenopause can be due to anovulation or to irregular maturation of follicles.Methods: The endometrial samples (endometrial curettage/ biopsy and hysterectomy specimens) sent to pathology laboratory were analyzed. These specimens are fixed in 10% formalin and gross morphology was recorded. Endometrial samples were totally embedded and representative bits are taken from hysterectomy specimens. These bits were placed in cassettes and kept in fixative and processed in the automatic tissue processor. Paraffin tissue blocks were prepared and 3-4 micrometer thick sections were cut and stained with routine haematoxylin and eosin. A detailed histological study was carried out and the findings were noted.Results: Among total study subjects, 62% of patient’s endometrium was in proliferative phase, 26% of patient’s endometrium was in secretory phase, 6% of patient’s endometrium was in cystoglandular hyperplasia. Dysplasia with atypical changes was found in 2% of patients. Adenomatous polyp was found in 2% of patients. Simple hyperplasia was found in 2% of patients.Conclusions: Patients with abnormal uterine bleeding should always be subjected to histopathological investigation

Clinical profile of patients with abnormal uterine bleeding at a tertiary care hospital

Background: Abnormal uterine bleeding is a very common gynecological condition that affects all age groups. One third of patients attending gynaecology OPD present with complaints of abnormal uterine bleeding. Bleeding is said to be abnormal when the pattern is irregular, abnormal duration (>7 days), or menorrhagia or abnormal amount (>80 ml/menses).Methods: All patients in the perimenopausal age group (45±5 years) with symptoms of abnormal uterine bleeding presenting at department of OBG, Tertiary care centre during the study period were included in the study. Totally 50 study subjects were included in the study as this number of patients attended hospital during the study period. Results: The most common presenting symptom was pain abdomens (28%) followed by dysmenorrhea (16%), and back ache (2%). The most common bleeding pattern was menorrhagia (64%) followed by polymenorrhoea (28%), metrorrhagia (18%) and menometrorrhagia (8%).Conclusions: The entire bleeding pattern was more commonly associated with abnormal uterine bleeding