Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Prolongation Loop Algebras for a Solitonic System of Equations
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Prolongation Loop Algebras for a Solitonic System of Equations
Інший ID:
2000 Mathematics Subject Classification: 37K10; 37N20; 35A30; 35Q60; 78A60
Посилання:
Prolongation Loop Algebras for a Solitonic System of Equations / M.A. Agrotis // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 24 назв. — англ.
Підтримка:
The author would like to thank P. Shipman for useful discussions and the Cyprus Research Promotion Foundation for support through the grant CRPF0504/03.
Дата:
2006
Переглядів:
495
Завантажень:
248
Анотація:
We consider an integrable system of reduced Maxwell-Bloch equations that describes the evolution of an electromagnetic field in a two-level medium that is inhomogeneously broadened. We prove that the relevant Bäcklund transformation preserves the reality of the n-soliton potentials and establish their pole structure with respect to the broadening parameter. The natural phase space of the model is embedded in an infinite dimensional loop algebra. The dynamical equations of the model are associated to an infinite family of higher order Hamiltonian systems that are in involution. We present the Hamiltonian functions and the Poisson brackets between the extended potentials.
