Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633865 | Applied Mathematics and Computation | 2008 | 5 Pages |
Abstract
Some results on the symmetry generators of equations with a small parameter and the relationship between symmetries and conservation laws for such equations are used to construct first-integrals from the Lagrangians for similarity reductions of some classes of a non-linear wave equation. The (approximate) symmetry generators, invariants and Lagrangians maintain the perturbation order of the 'small parameter' stipulated in the equation - first-order in this case. These are then used to analytically find symmetry invariant solutions of the wave equation concerned.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ferhana Ahmad, A.H. Kara, A.H. Bokhari, F.D. Zaman,