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Characteristic function method for classification of equations of hydrodynamics of a perfect fluid
Faculty
Science
Year:
2005
Type of Publication:
Article
Pages:
105-116
Authors:
Abd-el-Malek, MB, Helal, MM
DOI:
10.1016/j.cam.2004.11.042
Journal:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS ELSEVIER SCIENCE BV
Volume:
182
Research Area:
Mathematics
ISSN
ISI:000229885800008
Keywords :
characteristic function method, hydrodynamical equations, perfect fluid
Abstract:
The characteristic function method has been employed to determine and investigate certain classes of solution of a system of first-order nonlinear hydrodynamical equations of a perfect fluid with respect to different Coriolis parameters. The application of a one-parameter group of infinitesimal transformations reduces the number of independent variables by one, and consequently, the system of partial differential equations in two independent variables reduces to a system of ordinary differential equations. The resulting differential equations are solved analytically for some special cases. (c) 2004 Elsevier B.V. All rights reserved.
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