On approximate Lagrangians and invariants for scaling reductions of a non-linear wave equation with damping

Autor:	Ferhana Ahmad, Ashfaque H. Bokhari, Abdul H. Kara, F. D. Zaman
Rok vydání:	2008
Předmět:	Conservation law Numerical linear algebra Applied Mathematics Numerical analysis Mathematical analysis computer.software_genre Wave equation Computational Mathematics Homogeneous space Invariant (mathematics) Scaling computer Condition number Mathematics
Zdroj:	Applied Mathematics and Computation. 206:16-20
ISSN:	0096-3003
DOI:	10.1016/j.amc.2008.08.054
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0fe5b83dbdb281edaa13515ced6fd84c https://doi.org/10.1016/j.amc.2008.08.054 Zobrazit plný text záznamu Full Text from ScienceDirect