Hamiltonian formulation and integrability of a complex symmetric nonlinear system

Abstract

The integrability of a complex generalisation of the 'elegant' system, proposed by D. Fairlie and its relation to the Nahm equation and the Manakov top is discussed.

8 pages, Physics Letters A (accepted)

References in corpus (4)

• Double Elliptic Dynamical Systems From Generalized Mukai - Sklyanin Algebras
• Real Hamiltonian forms of Hamiltonian systems
• Integrable reductions of Spin(7) and G_2 invariant self-dual Yang-Mills equations and gravity
• Non-Collapsing Membrane Instantons in Higher Dimensions

Cited by in corpus (1)

• Lax pairs for the discrete reduced Nahm systems