Matrix nonlinear Schrödinger equations and moment maps into loop algebras

DOI10.1063/1.529815zbMath0767.58013arXivhep-th/9210071OpenAlexW2052269262MaRDI QIDQ4697241

J. Harnad, M. A. Wisse

Publication date: 29 June 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9210071

zbMATH Keywords

moment mapDarboux coordinatesisospectral Hamiltonian flowsmatrix nonlinear Schrödinger equationsreduced symplectic vector space

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (5)

Effective integration of the nonlinear vector Schrödinger equation ⋮ Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion ⋮ Affine Lie algebraic origin of constrained KP hierarchies ⋮ Isomonodromic deformations of a rational differential system and reconstruction with the topological recursion: The sl2 case ⋮ Hierarchies of evolution equations associated with certain symmetric spaces

Cites Work

• Nonlinear Schrödinger equations and simple Lie algebras
• Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras
• Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows
• Dual moment maps into loop algebras
• Quasiperiodic solutions for matrix nonlinear Schrödinger equations

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