On differential equations derived from the pseudospherical surfaces
type: Item
instance of: scholarly article
title: On differential equations derived from the pseudospherical surfaces
zbMATH Open document ID: 1472.35343
DOI: 10.1155/2014/381717
author: Hong-Wei Yang
author: Xiangrong Wang
author: Bao-Shu Yin
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We construct two metric tensor fields; by means of these metric tensor fields, sinh-Gordon equation and elliptic sinh-Gordon equation are obtained, which describe pseudospherical surfaces of constant negative Riemann curvature scalar \(\sigma\) = \(-\)2, \(\sigma\) = \(-\)1, respectively. By employing the Bäcklund transformation, nonlinear superposition formulas of sinh-Gordon equation and elliptic sinh-Gordon equation are derived; various new exact solutions of the equations are obtained.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 35J91
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 15A69
zbMATH DE Number: 7022270
zbMATH Keywords: sinh-Gordon equation
zbMATH Keywords: elliptic sinh-Gordon equation
zbMATH Keywords: Bäcklund transformation
zbMATH Keywords: tensor fields
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/381717
OpenAlex ID: W2132175853
Wikidata QID: Q59036976
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description: scientific article; zbMATH DE number 7022270