سیرت رسول عربی ﷺ(از نور بخش توکلی)کے منہج و اسلوب کا تجزیاتی مطالعہ

The topic of ‘Sacred role (Seerat)’ with the affinity of the Rasool (saw) having significance, status and vast acceptance is undoubtedly beyond expression. If we make analysis of a religious literature, we find most of its part consisting on such topics that are directly affiliated with the silent features of the personality of the Rasool (saw). In storehouse of knowledge and architecture of the world ‘Art of Sacred role’ has attained its prominent supremacy. The beginning of this art was based on the details of Ghazwat in Islam but with the passage of time, it was enlarged in such a way that a great piece of literary work on ‘Sacred role’ has been pin pointed in sub-continent. Many literate of persona put forth their pens on this topic out of whom Noor Bakhsh Tawakli is also the most famous name who wrote a with title of “Seerat Rasool-e-Arabi” on the personality of Rasool. The expression of the affection and following of the Rasool (saw) by Noor Bakhsh Tawakli is expressed by the leaves of this book. He is best known for his popular for this book which has its own status in this field. He wrote the book in the era during which the western civilization had strangled the youth of that time. Materialism was in its climax. A great piece of strife was being made to disintegrate the true bond of affection and following of the Rasool (saw) but the profundity of learning, recognition of knowledge, strict eye on the present condition of that time and the salient factors of love of the Rasool (saw) were quite dominant in this book. The leaves of which were enriched with the florescence of love and affection of Rasool(saw).  

A Study of Nonlinear Partial Differential Equations for Exact Solutions

This study is dedicated to the subject of constructing exact solutions of nonlinear partial differential equations arising in engineering science, mathematical physics, fluid mechanics, quantum mechanics etc. The significance of nonlinear partial differential equations lies in the fact that the mathematical modeling of many real life phenomena involves differential equations. Several new nonlinear evolution equations are reported to appear in recent scientific studies. The investigation of exact solutions of nonlinear partial differential equations is of great value in understanding widely different physical phenomena. In late years, many fractional order evolution equations are applied successfully to model various physical phenomena. The memory effects of the fractional derivatives play an important role in understanding mechanical and electrical attributes of actual materials. The aim of this dissertation is to extract the exact solutions of some important nonlinear partial differential equations of integer order as well as non-integer order, for instance the nonlinear short-pulse equation, nonlinear fractional biological population model, the nonlinear complex Ginzburg-Landau equation, the generalized fractional Zakharov-Kuznetsov equation, time-fractional Chan-Allen equation, the fractional dispersive modified Benjamin-Bona-Mahony equation and (2 + 1)−dimensional solution equation. Some well known integration techniques are implemented in carrying out the travelling wave solutions of these equations. The obtained solutions may be worthwhile for explanation of some physical phenomena accurately.