Soliton surfaces associated with CP^{N-1} sigma models

Details Soliton surfaces associated with CP^{N-1} sigma models Soliton surfaces associated with CP^{N-1} sigma models

2011-12-12

arxiv.org/abs/1112.2420v1

Physics

Mathematical Physics

14 pages

Scientific paper

Soliton surfaces associated with CP^{N-1} sigma models are constructed using the Generalized Weierstrass and the Fokas-Gel'fand formulas for immersion of 2D surfaces in Lie algebras. The considered surfaces are defined using continuous deformations of the zero-curvature representation of the model and its associated linear spectral problem. The theoretical framework is discussed in detail and several new examples of such surfaces are presented.

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