English

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

Mathematical Physics 2015-06-03 v1 math.MP Exactly Solvable and Integrable Systems

Abstract

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.

Cite

@article{arxiv.1112.2420,
  title  = {Soliton surfaces associated with CP^{N-1} sigma models},
  author = {A. M. Grundland and S. Post},
  journal= {arXiv preprint arXiv:1112.2420},
  year   = {2015}
}

Comments

14 pages

R2 v1 2026-06-21T19:49:30.024Z