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Exact solution of some new planar polygon models. Plus aspects of a ”new” SAW model
planar polygon models new SAW model
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2015/3/19
Exact solution of some new planar polygon models. Plus aspects of a ”new” SAW model.
Classification of Parameter-Dependent Quantum Integrable Models, Their Parameterization, Exact Solution, and Other Properties
Parameter-Dependent Quantum Integrable Models Exact Solution Classification Properties
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2011/7/7
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...
Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
$D_N$ type quantum Calogero model through free harmonic oscillators
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2011/3/3
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...
Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
Exact solution of $D_N$ type quantum Calogero model mapping to free harmonic oscillators
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2010/12/28
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...
A note on Exact solution of SIR and SIS epidemic models
SIR and SIS Epidemiology Exact Solution
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2011/2/25
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 ...
Exact solution of a 2D interacting fermion model
Exact solution a 2D interacting fermion model
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2010/11/11
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...
Exact solution of time fractional partial differential equation
Time fractional partial differential equation Laplace transform
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2010/9/14
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...
An exact solution for the differential equation governing the lateral motion of thin plates subjected to lateral and in-plane loadings
The Adomian Decomposition Method (ADM) Thin plates
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2010/9/13
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...
Exact solution of a constrained optimization problem in thermoelectric cooling
Optimization Constrained nonlinear functional optimization
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2010/9/10
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 ...
Representation of exact solution for singular boundary value problems of system of equations
System of equations Singular boundary value problem
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2010/9/15
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...
An exact solution for the deflection of a clamped rectangular plate under uniform load
Rectangular plate clamped plate deflection
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2010/9/16
Rectangular plates under uniform load, x = ±a, y = ±b, are considered.An exact solution is presented in which each term of the series is trigonometric and hyperbolic, and identically satisfies the bou...
An alternative exact solution method for the reduced wave equation with a variable coefficient
Helmholtz equation Differential equation
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2010/9/16
In this paper we present the exact solution of reduced wave equation with a variable coefficient Δu(x) + k2n(x)u(x) = 0 for n(x) = n(r) ,r = |x| by the solution of a classic Riccati differential equat...