Semantic Scholar Open Access 2007 888 sitasi

A new conservation theorem

N. Ibragimov

Lihat Sumber DOI

Abstrak

A general theorem on conservation laws for arbitrary differential equations is proved. The theorem is valid also for any system of differential equations where the number of equations is equal to the number of dependent variables. The new theorem does not require existence of a Lagrangian and is based on a concept of an adjoint equation for non-linear equations suggested recently by the author. It is proved that the adjoint equation inherits all symmetries of the original equation. Accordingly, one can associate a conservation law with any group of Lie, Lie-Backlund or non-local symmetries and find conservation laws for differential equations without classical Lagrangians.

Topik & Kata Kunci

Mathematics

Penulis (1)

N. Ibragimov

Format Sitasi

APA MLA BibTeX

Ibragimov, N. (2007). A new conservation theorem. https://doi.org/10.1016/J.JMAA.2006.10.078

Akses Cepat

Lihat di Sumber doi.org/10.1016/J.JMAA.2006.10.078

Informasi Jurnal

Tahun Terbit: 2007
Bahasa: en
Total Sitasi: 888×
Sumber Database: Semantic Scholar
DOI: 10.1016/J.JMAA.2006.10.078
Akses: Open Access ✓