Quaternionic soliton equations from Hamiltonian curve flows in {\bb H}{\bb P}^n
نویسندگان
چکیده
منابع مشابه
Quaternionic Soliton Equations from Hamiltonian Curve Flows in Hp
A bi-Hamiltonian hierarchy of quaternion soliton equations is derived from geometric non-stretching flows of curves in the quaternionic projective space HPn. The derivation adapts the method and results in recent work by one of us on the Hamiltonian structure of non-stretching curve flows in Riemannian symmetric spaces M = G/H by viewing HPn ≃ U(n + 1, H)/U(1, H)× U(n, H) ≃ Sp(n + 1)/Sp(1)× Sp(...
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Universal bi-Hamiltonian hierarchies of group-invariant (multicomponent) soliton equations are derived from non-stretching geometric curve flows γ(t, x) in Riemannian symmetric spaces M = G/H, including compact semisimple Lie groups M = K for G = K×K, H = diag G. The derivation of these soliton hierarchies utilizes a moving parallel frame and connection 1-form along the curve flows, related to ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2009
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/42/48/485201