The fractional-order nonlinear Gardner and Cahn–Hilliard equations are often used to model ultra-short burst beams of light, complex fields of optics, photonic transmission systems, ions, and other ...
Nonlinear partial differential equations (PDEs) characterise a wide range of complex phenomena in science and engineering, from fluid dynamics to signal processing in biomedical systems. In recent ...
Abstract: Recently, variational and partial differential equation (PDE)-based algorithms have become very important for image restoration. In this study, we propose a new second order hyperbolic PDE ...
The nonlinear Riccati differential equation, since its enunciation by Jacopo Riccati in 1724, has become a legendary equation. Despite a 300-year search for a solution, it has not been possible to ...
Department of Mathematics, AlQuds Open University, Ramallah, Palestine. In 1940 Ulam posed the basic problem of the stability of functional equations: Give conditions in order for a linear mapping ...
Abstract: A nonlinear equation system often has multiple roots, while finding all roots simultaneously in one run remains a challenging work in numerical optimization. Although many methods have been ...
1 Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt, Jordan 2 Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, Jordan This article circumvents the ...
Quantum interferometry and quantum information processing have been proposed for Bose-Einstein condensates (BECs), but BECs are described in complicated ways such as using quantum field theory or ...
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