Explicit forms of Bäcklund transformations for the Grassmannian and C P N−1 sigma models

DOI10.1063/1.526892zbMath0567.22011OpenAlexW2073218999MaRDI QIDQ3682699

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Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526892

zbMATH Keywords

Bäcklund transformationsEuclidean two-dimensional Grassmannian and \(CP^{N-1}\) sigma models

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (4)

Darboux transformation and exact multisolitons of \(\mathbb{C}P^N\) nonlinear sigma model ⋮ Classical nonlinear σ models on Grassmann manifolds of compact or noncompact type ⋮ Explicit solutions of Grassmannian σ models ⋮ Giant magnons in symmetric spaces: explicit N-soliton solutions for \(\mathbb{C}\mathbb{P}^{n}\), \(\mathrm{SU}(n)\) and \(S^{n}\)

Cites Work

• Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Classical Solutions for the Supersymmetric Grassmannian Sigma Models in Two Dimensions. II

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