8 citations · 21 across the 5 of their papers we have counts for
5 papers
Soliton surfaces and generalized symmetries of integrable systems
A. M. Grundland, S. Post, D. Riglioni
In this paper, we discuss some specific features of symmetries of integrable systems which can be used to contruct the Fokas-Gel'fand formula for the immersion of 2D-soliton surfac…
Soliton surfaces associated with sigma models; differential and algebraic aspect
P. P. Goldstein, A. M. Grundland, S. Post
In this paper, we consider both differential and algebraic properties of surfaces associated with sigma models. It is shown that surfaces defined by the generalized Weierstrass for…
Soliton surfaces associated with CP^{N-1} sigma models
A. M. Grundland, S. Post
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 algebra…
Soliton surfaces associated with symmetries of ODEs written in Lax representation
A. M. Grundland, S. Post
The main aim of this paper is to discuss recent results on the adaptation of the Fokas-Gel'fand procedure for constructing soliton surfaces in Lie algebras, which was originally de…
Soliton surfaces associated with generalize symmetries of integrable equations
A. M. Grundland, S. Post
In this paper, based on the Fokas, Gel'fand et al approach [15,16], we provide a symmetry characterization of continuous deformations of soliton surfaces immersed in a Lie algebra…