We show how one can construct approximate conservation laws of approximate Euler-type equations via approximate Noethertype symmetry operators associated with partial Lagrangians. The ideas of the procedure for a system of unperturbed partial differential equations are extended to a system of pertur
Noether-Type Symmetries and Conservation Laws Via Partial Lagrangians
β Scribed by A. H. Kara; F. M. Mahomed
- Publisher
- Springer Netherlands
- Year
- 2006
- Tongue
- English
- Weight
- 231 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0924-090X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The notions of partial Lagrangians, partial Noether operators and partial EulerβLagrange equations are used in the construction of first integrals for ordinary differential equations that need not be derivable from variational principles. We obtain a Noetherβlike theorem that provides t
The main notions and results which are necessary for finding higher symmetries and conservation laws for general systems of partial differential equations are given. These constitute the starting point for the subsequent papers of this volume. Some problems are also discussed.
Arjan vat, dez SCHAFT Res'Fted ] July 1911 tum~ tern 141hoot a IΒ’'ra~ IΒ’~m) H\*.~ to~trt t31~ laknoOw-'.to o In [he context o| r,onllne~r Hamiltonhn sys-wi~ul ~te~ta] fo~ the stpdy of.sT~ trh= is a ~ imp,:rtmtt ,rod eisbo~ted issue (cf. [1,2 D. "i'he main reason for thΒ’ unport~ace of ~mmetti~ tt tha