Exact Solutions of Evolution Equations with Variable Coefficients (häftad)

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Matematik

Format: Häftad (Paperback / softback)
Språk: Engelska
Antal sidor: 116
Utgivningsdatum: 2014-11-25
Förlag: LAP Lambert Academic Publishing
Medarbetare: Abdel-Gawad H. I.
Illustrationer: black & white illustrations
Dimensioner: 229 x 152 x 7 mm
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Antal komponenter: 1
Komponenter: Paperback
ISBN: 9783659634468

Exact Solutions of Evolution Equations with Variable Coefficients

Name: Exact Solutions of Evolution Equations with Variable Coefficients
Price: 563.00 SEK
Availability: InStock
Author: Mohamed Safaa Osman, H I Abdel-Gawad
ISBN: 9783659634468

av Mohamed Safaa Osman, H I Abdel-Gawad

Häftad, Engelska, 2014-11-25

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In this book, we make an extension to the unified method that unifies all the known methods in the literature for finding the exact solutions of scalar or vector nonlinear PDE's with constant coefficients in the nonlinear sciences. The extended unified method unable us to investigate the effects of the inhomogeneity of the diffusion, diffraction dispersion super-diffusion of the medium trough considering the coefficients space-dependent. On the other hand, some problems have been studied when these coefficients are taken as time-dependent. The main objectives of the extended unified method are; (a) Constructing the necessary conditions for the existence of solutions to evolution equations. (b) Whenever the solutions exist, this method suggests a new classification to the solution structures namely; the polynomial solutions, the rational solutions and the polynomial-rational solutions. In each type, we mean that the obtained equations are accomplished by a set of auxiliary equation whose solution gives rise to an auxiliary function.

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