| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4632684 | Applied Mathematics and Computation | 2010 | 5 Pages |
Abstract
In this paper, we study conservation laws for some third-order systems of pdes, viz., some versions of the Boussinesq equations and the BBM equation. It is shown that new and interesting conserved quantities arise from ‘multipliers’ that are of order greater than one in derivatives of the dependent variables. Furthermore, the invariance properties of the conserved flows with respect to the Lie point symmetry generators are investigated via the symmetry action on the multipliers.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
R. Morris, A.H. Kara,