| 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 sigma = -2, sigma = -1, respectively. By employing the Backlund 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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