  A systematic group-theoretical analysis of the supersymmetric sinh-Gordon
equation is performed. A generalization of the method of prolongations is used
to determine the Lie superalgebra of symmetries, and the method of symmetry
reduction is applied in order to obtain invariant solutions of the
supersymmetric sinh-Gordon equation. The results are compared with those
previously found for the supersymmetric sine-Gordon equation. The presence of
nonstandard invariants is discussed for the supersymmetric sinh-Gordon
equation, as well as for the supersymmetric Korteweg-de Vries equation.
