English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The relationship between solutions of the sinh-Laplaceequation and the determination of various kinds ofsurfaces of constant Gaussian curvature, both positiveand negative, will be investigated here. It is shownthat when the metric is given in a particular setof coordinates, the Gaussian curvature is related tothe sinh-Laplace equation in a direct way. Thefundamental equations of surface theory are found toyield a type of geometrically based Lax pair for the system.Given a particular solution of the sinh-Laplaceequation, this Lax can be integrated to determinethe three fundamental vectors related to the surface.These are also used to determine the coordinate vector of the surface. Some specific examples of this procedure will be given

Determination of surfaces in three-dimensional Minkowski and Euclidean spaces based on solutions of the Sinh-Laplace equation