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.
| Original language | English |
|---|---|
| Pages (from-to) | 16-20 |
| Number of pages | 5 |
| Journal | Applied Mathematics and Computation |
| Volume | 206 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Dec 2008 |
Keywords
- Approximate Noether symmetries
- First-integrals
- Invariants
- Lagrangians
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
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