Classification of polynomial integrable systems of mixed scalar and vector evolution equations: I
Classification of polynomial integrable systems of mixed scalar and vector evolution equations: I
We perform a classification of integrable systems of mixed scalar and vector evolution equations with respect to higher symmetries. We consider polynomial systems that are homogeneous under a suitable weighting of variables. This paper deals with the KdV weighting, the Burgers (or potential KdV or modified KdV) weighting, the Ibragimov–Shabat …