Autor: | V. F. Kovalev, R. K. Gazizov, V. A. Baikov, N. H. Ibragimov |
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Rok vydání: | 1997 |
Předmět: |
Partial differential equation
Applied Mathematics Mechanical Engineering Mathematical analysis Aerospace Engineering Ocean Engineering Symmetry group Governing equation Nonlinear system Infiltration (hydrology) Control and Systems Engineering Soil water Electrical and Electronic Engineering Mathematics |
Zdroj: | Nonlinear Dynamics. 13:395-409 |
ISSN: | 0924-090X |
Popis: | Exact solutions for a class of nonlinear partial differential equations modelling soil water infiltration and redistribution in irrigation systems are studied. These solutions are invariant under two-parameter symmetry groups obtained by the group classification of the governing equation. A general procedure for constructing invariant solutions is presented in a way convenient for investigating numerous new exact solutions. |
Databáze: | OpenAIRE |
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