Systems of bi-linear algebraic equations with solutions

This page provides links to overviews of classifications of integrable systems. In all these classifications a polynomial ansatz for the equation or system of equations was made as well as for a higher order symmetry or a polynomial first integral. The symmetry condition or condition for first integrals results in bi-linear algebraic overdetermined systems which are shown as well as their solutions. The following investigations have been made so far:

vector evolutionary PDE
vector scalar evolutionary PDE systems
quadratic Hamiltonians with a e(3) Poisson structure
quadratic Hamiltonians with a so(4)/so(3,1) Poisson structure
supersymmetric evolutionary PDE

This page is maintained by

Thomas Wolf
E-mail: twolf@brocku.ca