Computer classification of the integrable coupled KdV-like systems with unit main matrix. (English) Zbl 0771.35067
Summary: The classification of 2-component systems of equations for the form
\[
u_ t^ i=u_{xxx}^ i+c_{ij} u^ i u_ x^ j\qquad (i,j=1,2)
\]
which possess higher symmetries is given. A new class of such integrable KdV-like systems is obtained. All the computations have been done using the REDUCE computer algebra system.
MSC:
35Q53 | KdV equations (Korteweg-de Vries equations) |
68W30 | Symbolic computation and algebraic computation |