This thesis investigates the (2+1)-dimensional integrable Kadomtsev-Petviashvili equation, employing Hirota’s bilinear form to explore various exact solutions, including breather waves, periodic waves, and two-wave ...

The energy transport of the circularly polarized electromagnetic (EM) waves is studied in a collision less Cairns distributed plasmas, whose constituents are the mobile electrons and static ions. For this purpose, the ...

This thesis explores two models of the integrable nonlinear partial differential equations namely, the newly proposed (3+1)-dimensional generalized Korteweg-de Vries (gKdV) equation and the (2+1)-dimensional extended ...

This dissertation aims to develop numerical schemes to approximate solutions of variableorder fractional differential equations. The absence of fundamental properties in variableorder fractional operators, such as the ...

Here we present a protocol for concatenated entanglement swapping to distribute en tanglement over longer distances. We test our protocol against continuous variable states including both Gaussian and non-Gaussian states. ...

This thesis focuses on two fundamental aspects of fluid dynamics and heat transport inside enclosed spaces. Using computer simulations via Comsol with the Finite Element Method (FEM), the research analyzes how fluids ...

Estimating early-age mortality at more localized administrative levels offers public health researchers a deeper insight into infant well-being and aids in developing health policies. To achieve this, design-based ...

This thesis examines the influence of the Coriolis force on the accuracy and efficiency of shallow water equations (SWEs) simulations utilizing adaptive mesh refinement (AMR). Utilizing the open-source GeoClaw software, ...

The Indus River, a transboundary and one of the biggest rivers in the world originates in west ern Tibet, flows northwest through Ladakh, Gilgit-Baltistan, and then south and southeast across Pakistan and empties into ...

This thesis explores the domain of fractional calculus, with a particular focus on generalized fractional calculus and weighted fractional calculus with respect to functions. The core research focuses on further exploring ...