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Dynamic simulation of traveling wave solutions for the differential-difference Burgers’ equation utilizing a generalized exponential rational function approach
This article aims to study the generalized exponential rational function method to solve the differential-difference Burgers’ equation. Our approach...
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Miscellaneous Extensions of the Jost Function Approach
In this chapter, several “exotic” extensions of the Jost function approach are considered, namely, the applications of the theory to a class of... -
New optical soliton solutions of Biswas–Arshed equation using the generalised exponential rational function approach and Kudryashov’s simplest equation approach
This paper studies the optical soliton solutions of the Biswas–Arshed equation with the help of two different techniques, such as the generalised...
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A Riemann Hilbert Approach to the Study of the Generating Function Associated to the Pearcey Process
Using Riemann–Hilbert methods, we establish a Tracy–Widom like formula for the generating function of the occupancy numbers of the Pearcey process....
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A Green’s function-tight-binding-based approach for T-graphene analysis
The framework of the tight-binding model and Green’s function formalism have been derived to investigate the electronic properties of few-layer...
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Experimental and Comparative Study of Optical Properties of Different Phantoms by the Kubelka–Munk Function Approach
We optically characterized agar, muscle, and Zerdine phantoms mimicking human tissues. To the best of our knowledge, optical parameters for agar,...
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Analytic solutions to the fractional kinetic equation involving the generalized Mittag-Leffler function using the degenerate Laplace type integral approach
Recently, several fractional kinetic equations involving various special functions have been widely and usefully used in describing and solving...
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New exact solution forms and stability aspects to Drinfel’d–Sokolov–Wilson model by using extended Jacobi elliptic rational function approach
In this study, the travelling wave solutions of the general Drinfel’d–Sokolov–Wilson (DSW)-system, introduced as a model of water waves, are obtained...
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Green–Kubo Approach
An alternative to the Landauer formalism is the approach for modelling the heat transport in solids based on the Green–Kubo theory of linear response... -
Finite Temperature Green Function Formalism
Develo** a Green function formalism similar to the \(T=0\)... -
GUP modified Wigner function using classical-quantum unified framework
The generalized uncertainty principle (GUP) is a natural consequence of many proposed quantum gravity theories that indicate the modification of...
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An Innovative Approach to Construct Inverse Potentials Using Variational Monte-Carlo and Phase Function Method: Application to np and pp Scattering
In this paper, we present an innovative approach to construct inverse potentials for np-interaction directly from experimental scattering phase...
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Green’s function approach to adiabatic charge-pum** induced by interfacial spin-flip potential
In a system without spin–orbit coupling, a precessing magnetization adiabatically pumps to its surrounding materials a spin current that is not...
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Hot Electron Relaxation in Ferromagnetic Metals: Memory Function Approach
This study leads to the investigation of the non-equilibrium electron relaxation in ferromagnetic metals. Here we consider the relaxation of...
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A semi-model-independent approach for describing cosmological data
In order to investigate a dataset, a model-independent or non-parametric approach has been widely used in cosmology. In these scenarios, the data...
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New Approach to Glauber Theory Description of Nucleus-Nucleus Scattering
AbstractA new approach to describe the nuclear scattering amplitudes in Glauber theory is proposed. The method is based on the expression for the...
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Extracting a function encoded in amplitudes of a quantum state by tensor network and orthogonal function expansion
There are quantum algorithms for finding a function f satisfying a set of conditions, such as solving partial differential equations, and these...
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Generalized canonical approach to deformation problem in gauge theories
We develop a general approach to constructing a deformation that describes the map** of any dynamical system with irreducible first-class...
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Computing a Transfer Function of the Poincaré–Steklov Operator for a Functionally Graded Elastic Strip
AbstractA boundary value problem is considered in a functionally graded elastic strip. A three-term asymptotic expansion of a transfer function is...