Submodels of Nonlinear Grassmann Sigma Models in Any Dimension and Conserved Currents, Exact Solutions

Abstract

In the preceding paper(hep-th/9806084), we constructed submodels of nonlinear Grassmann sigma models in any dimension and, moreover, an infinite number of conserved currents and a wide class of exact solutions. In this paper, we first construct almost all conserved currents for the submodels and all ones for the one of $\mathbf{C}{P}^1$-model. We next review the Smirnov and Sobolev construction for the equations of $\mathbf{C}{P}^1$-submodel and extend the equations, the S-S construction and conserved currents to the higher order ones.

13 pages, AMSLaTex; an new section and an appendix added

References in corpus (3)

• A New Approach to Integrable Theories in any Dimension
• Integrable Chiral Theories in 2+1 Dimensions
• Nonlinear Grassmann Sigma Models in Any Dimension and An Infinite Number of Conserved Currents

Cited by in corpus (5)

• Integrable theories and loop spaces: fundamentals, applications and new developments
• Integrability and Conformal Symmetry in Higher Dimensions: A Model with Exact Hopfion Solutions
• Infinite symmetries in the Skyrme model
• New Integrable Sectors in Skyrme and 4-dimensional CP^n Model
• A Generalization of the Submodel of Nonlinear CP^1 Models