On a solitonic specialisation for the general solutions of some two-dimensional completely integrable systems

Abstract Following a prescription of Olive, Turok and Underwood for a solitonic specialisation of the general solutions to the (abelian) periodic Toda field theories, we discuss a construction of the soliton solutions for a wide class of two-dimensional completely integrable systems arising in the framework of the group-algebraic approach, including the “non-abelian” version of the affine Toda theory.