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Exact solution of some new planar polygon models. Plus aspects of a ”new” SAW model.
An exact analytic solution is obtained for a uniformly expanding, neutral, highly conducting plasma sphere in an external dipole magnetic field with an arbitrary orientation of the dipole moment in th...
We study a stochastic model of protein dynamics that explicitly includes delay in the degradation.We rigorously derive the master equation for the processes and solve it exactly. We show that the equa...
We study general quantum integrable Hamiltonians linear in a coupling constant and represented by finite NxN real symmetric matrices. The restriction on the coupling dependence leads to a natural noti...
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...
In this article we have successfully obtained an exact solution of a particular case of SIR and SIS epidemic models given by Kermack and Mckendrick [1] for constant population, which are described by ...
An exact solution is found for the problem of the center-of-band (E = 0) anomaly in the one- dimensional (1D) Anderson model of localization. By deriving and solving an equation for the generating f...
We study a 1-dimensional XX chain under nonequilibrium driving and local dephasing described by the Lindblad master equation. Analytical solution for the nonequilibrium steady state found for particu...
We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model provides an effective description of spinless fermions on a square lattice w...
An analytical solution of the GRB arrival time analysis is presented. The errors in the position of the GRB resulting from timing and position errors of different satellites are calculated. A simple...
In this paper, a time fractional partial differential equation is considered,where the fractional derivative is defined in the Caputo sense. A function transform and Laplace transform method along wit...
One of the powerful analytical methods to solve partial differential equations is the Adomian decomposition method (ADM). This paper presents a novel approach for the dynamic analysis of a flexible pl...
We consider an optimization problem in thermoelectric cooling. The maximum achievable cooling temperature in thermoelectric cooling is, among other things, affected by the Seebeck coefficient profile ...
An approximation method with property of projection and interpolation for singular boundary value problems of system of equations under the reproducing kernel space W3 2 W3 2 is considered. The exac...

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