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2014 On Differential Equations Derived from the Pseudospherical Surfaces
Hongwei Yang, Xiangrong Wang, Baoshu Yin
Abstr. Appl. Anal. 2014(SI67): 1-9 (2014). DOI: 10.1155/2014/381717

Abstract

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 σ = −2, σ = −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.

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Hongwei Yang. Xiangrong Wang. Baoshu Yin. "On Differential Equations Derived from the Pseudospherical Surfaces." Abstr. Appl. Anal. 2014 (SI67) 1 - 9, 2014. https://doi.org/10.1155/2014/381717

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022270
MathSciNet: MR3200781
Digital Object Identifier: 10.1155/2014/381717

Rights: Copyright © 2014 Hindawi

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