Ka. Volosov et al., EXACT SELF-SIMILAR AND 2-PHASE SOLUTIONS OF SYSTEMS OF SEMILINEAR PARABOLIC EQUATIONS, Theoretical and mathematical physics, 101(2), 1994, pp. 1289-1295
Exact single-wave and two-wave solutions of systems of equations of th
e Newell-Whitehead type are presented. The Painleve test and calculati
ons in the spirit of Hirota are used to construct these solutions.