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Soliton surfaces via a zero-curvature representation of differential equations

Soliton surfaces via a zero-curvature representation of differential equations

The main aim of this paper is to introduce a new version of the Fokas-Gel'fand formula for immersion of soliton surfaces in Lie algebras. The paper contains a detailed exposition of the technique for obtaining exact forms of 2D-surfaces associated with any solution of a given nonlinear ordinary differential equation …