Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636473 | Applied Mathematics and Computation | 2007 | 9 Pages |
Abstract
We use the definition of the association of symmetries of partial differential equations with conservation laws [A. Kara, F. Mahomed, The relationship between symmetries and conservation laws, Int. J. Theor. Phys. 39 (1) (2000) 23–40] to find a double reduction of partial differential equations with two independent variables. Applications to the linear heat equation, the BBM equation, the sine-Gordon equation and a system of differential equations from one dimensional gas dynamics illustrate the new theory.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A. Sjöberg,