arXiv Open Access 2012

A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction

Hongli An Colin Rogers

Lihat Sumber

Abstrak

A 2+1-dimensional anisentropic magnetogasdynamic system with a polytropic gas law is shown to admit an integrable elliptic vortex reduction when $γ=2$ to a nonlinear dynamical subsystem with underlying integrable Hamiltonian-Ermakov structure. Exact solutions of the magnetogasdynamic system are thereby obtained which describe a rotating elliptic plasma cylinder. The semi-axes of the elliptical cross-section, remarkably, satisfy a Ermakov-Ray-Reid system.

Topik & Kata Kunci

math-ph nlin.SI physics.plasm-ph

Penulis (2)

Hongli An

Colin Rogers

Format Sitasi

APA MLA BibTeX

An, H., Rogers, C. (2012). A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction. https://arxiv.org/abs/1208.4666

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓