مزاح سے متعلق اسلامی و مغربی مفکرین کی آراء اور نبوی ﷺتعلیمات ؛ایک تجزیاتی مطالعہ Views of Islamic & Western Scholars about Humour and Propheticﷺ Teachings; An Analytical Study

Fun and humour are part of human nature and character while people have a strong desire for relaxation that they want to have the means to express joy. Even bitter ideas can be easily conveyed to others through humor and good nature. Islam did not only allow laughter and entertainment but also prescribed such rules and regulations that people can fulfill their natural needs while living within the limitations. The Holy Prophet ﷺ made the best arrangements for Islamic state of Madina, the tastes and interests of the people, and their entertainment, and set an example for the rulers that like other countries. Hazrat Muhammad ﷺ did not only allow laughter and humor, but he himself was cheerful and happy towards his companions. Humour is an essential element of human life, and it has significant importance in Islam as well as in other religions. In this regard, we also get a lot of guidance from Sirat-e-Tayyaba, and it is justified with certain conditions. In this article, the authors have discussed the introduction of humor, its status in Shariah and its limitations from the perspective of Islamic Shari'ah. The authors have tried to analysis opinions of psychologists, Islamic and Western thinkers in this regard. Keywords: Cheerfulness, Humor, Human Instinct, Entertainment Humiliation.

Nonlinear Coherent Structures in Multi-Component Degenerate Plasmas

The propagation characteristics of nonlinear coherent structures involving the solitons, shocks and rogons (rogue waves) are studied in a degenerate dense plasma, which has strong relevance not only to compact astrophysical bodies such as white dwarfs, magnetars, neu tron stars, etc., but also in high density laser-induced plasmas. In superdense plasmas, the quantum corrections due to quantum degeneracy, quantum diffraction, relativistic degener acy and degenerate particle trapping strongly modify the nonlinear properties of the waves and instabilities. In Chapter 3, a multi-dimensional propagation and stability for ion-acoustic (IA) soli tary waves are discussed in a magnetoplasma, containing degenerate relativistic trapped electrons and classical anisotropic ions. By using the Chew Goldberger and Low (CGL) the ory alongwith quantum magnetohydrodynamic (QMHD) equations, a Zakharov-Kuznetsov (ZK) equation is obtained, which admits a solitary solution in the form of potential pulse. The stability parameter Si is analyzed by a k-expansion method, which reveals the stable and unstable solitons in the domains Si < 0 and Si > 0, respectively. Numerically, it is found that trapped electrons and ionic pressure anisotropy support the formation of taller and wider solitons in a degenerate relativistic anisotropic plasma. Chapter 4 presents the linear and nonlinear analyses of magnetosonic (MS) solitary and shock waves in a degen erate relativistic magnetoplasma. For this, we have solved the QMHD equations with the aid of reductive perturbation technique to study a Korteweg-de Vries (KdV) solitons and Korteweg-de Vries-Burger (KdVB) shocks. For linear study, a plane wave solution is used to obtain a linear dispersion relation for MS waves. It is revealed that relativistic electrons reduce the rapid variations in the wave frequency due to intensification of external mag netic field. In nonlinear analysis, the relativistic electrons strongly favor to excite taller and narrower localized solitons and amplify the shock strength. In Chapter 5, one-fluid QMHD model is utilized to investigate the characteristics of low frequency MS envelope solitons in a dense magnetized plasma. By using a multiscale reductive perturbation technique, the nonlinear Schro¨dinger (NLS) equation is derived to account for degenerate relativistic electrons and associated quantum diffraction effects. It is examined that these effects play a vital role to excite modulationally stable excitations, such as the dark and grey solitons in dense magnetoplasma. These solitons only exist under the condition PQ > 0, where P and Q are the dispersion and nonlinearity coefficients, respectively. These results are useful for analyzing the propagation characteristics of MS excitations in dense astrophysical plasmas, where quantum and relativistic effects modify the wave properties and stability. Chapter 6 describes the evolution of weakly nonlinear dust-ion-acoustic (DIA) bright solitons and rogons in a degenerate dusty plasma containing degenerate relativistic electrons, and dynamical degenerate ions with static dust. To examine numerically the modulational instability (MI) and unstable modes on ion-timescales, the effects of relativistic electrons and degenerate ions are examined on the profiles of MI and localized DIA excitations (bright solitons and rogons). It is found that the instability domain becomes widen for varying the relativistic parameter and ionic degeneracy. Finally, in Chapter 7, we have extended our work to nonlinear evolution of extremely low frequency dust-acoustic (DA) solitons and rogons in a nonplanar cylindrical plasma accounting for Thomas-Fermi distributed electrons and ions. The fluid equations are evolved into the cylindrical Kadomtsev-Petviashvili (CKP) and cylindrical nonlinear Schro¨dinger (CNLS) equations for studying the formation of solitary and rogue excitations. It is found that cylindrical plasma leads to radial deviation of solitons and modification of the growth rate associated with modulationally unstable wavepackets. The results are important to understand the nonlinear DIA and DA potential excitations in dense dusty plasmas where dust particulates modify the characteristics scales and affect the properties of stable and unstable wave modes.