  We investigate two-parameter solutions of sigma-models on two dimensional
symmetric spaces contained in E11. Embedding such sigma-model solutions in
space-time gives solutions of M* and M'-theory where the metric depends on
general travelling wave functions, as opposed to harmonic functions typical in
general relativity, supergravity and M-theory. Weyl reflection allows such
solutions to be mapped to M-theory solutions where the wave functions depend
explicitly on extra coordinates contained in the fundamental representation of
E11.
