  Exact solution to the hierarchy of nonlinear lattice Boltzmann (LB) kinetic
equations in the stationary planar Couette flow is found at non-vanishing
Knudsen numbers. A new method of solving LB kinetic equations which combines
the method of moments with boundary conditions for populations enables to
derive closed-form solutions for all higher-order moments. Convergence of
results suggests that the LB hierarchy with larger velocity sets is the novel
way to approximate kinetic theory.
