Fritzsche, B.; Kirstein, B.; Roitberg, I.Y.; Sakhnovich, A.L.
(Symmetry, Integrability and Geometry: Methods and Applications, 2015)
Using matrix identities, we construct explicit pseudo-exponential-type solutions of linear Dirac, Loewner and Schrödinger equations depending on two variables and of nonlinear wave equations depending on three variables.