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Two Forms Of The Backlund Transformation Of A Third Order Differential Equation
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Qatar University
, 1996 , Article)
Two explicit forms of Backlund transformation of third order dispersive differential equation are derived. The method of derivation depends on the use of a transformation that couples the equation with its modified one.
The Backlund Transformation Of A Kp-Like Class Of Nonlinear Partial Differential Equations
(
Qatar University
, 1996 , Article)
The Backlund transformation of a class that behaves in a manner similar to that of the Kadometsev-Petviashli is derived via the use of a transformation that couples this class with a modified given class of the same order. ...
Morphisms Of Affine Schemes And Equivalence Of Categories
(
Qatar University
, 1996 , Article)
In this work we construct the relation between the category R-filt (G(R)-gr) and the category O^ — Filt(O^ — Gr).
The quantum (ungraded) version of this result can be obtained by restricting to parts of zero degree. ...
Improvement Of The Piecewise Approximation Methods
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Qatar University
, 1996 , Article)
A piecewise approximation method is described for planar curves. The order of classical piecewise approximations is improved. The method exploits the freedom in the
choice of the parametrization and rises the approximation ...
A Markov Chain Model For River Flow
(
Qatar University
, 1996 , Article)
This paper is concerned with a trinary transformation of river flow. The transformed flow is modeled as a three-states Markov chain and both upcrossing and downcrossing problems are studied simultaneously. The stationary ...
Gravitohydrodynamic Instability Of A Streaming Fluid Cylinder
(
Qatar University
, 1996 , Article)
The capillary-gravitodynamic instability of a self-gravitating fluid cylinder (radius R«) dispersed in a self-gravitating medium of negligible motion has been developed. General stability criteria are derived, upon utilizing ...
On A Kp Class Of Partial Differential Equations Conservation Laws And Solitary Wave Solutions
(
Qatar University
, 1996 , Article)
It is shown that a KP class of partial differential equations possesses an infinite number of conservation laws. In addition, exact and explicit solitary wave solutions are constructed for the KP class of equations, which ...
The One Dimensional Inverse Spectral Problem Of A Generalized Stationary Schrodinger Equation
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Qatar University
, 1996 , Article)
In this paper we study the inverse problem on the half line for a generalized stationary one dimensional Schrodinger equation. We consider the solutions of the differential equation and study its properties. Given the ...
A Mathematical Model Of The Dynamics Of Schistosomiasis
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Qatar University
, 1996 , Article)
In this work the authors develop a mathematical model for the dynamics of a major helminth parasite of man, schistosomiasis. The model is a system of coupled non-linear equations. Numerical experimentations with the model ...
Diffusion Problems Arising In Mathematical Biology 2
(
Qatar University
, 1996 , Article)
In this paper we consider long range diffusion, examine the local behavior of epidemics in Lp'q. In section 1 of chapter 2 we develop a model, the long range diffusion pressure in planktonic patchiness and then in secion ...