Exact solutions in ideal chromatography via differential constraints method

Abstract

A differential constraints analysis is worked out for a quasilinear hyperbolic system of first order PDEs written in terms of Riemann invariants which models multicomponent ideal chromatography. Depending on the appended constraints, different exact solutions can be obtained which exhibit inherent wave features. Among others, there are determined generalized simple wave solutions which are parameterized by an arbitrary function so that they may also fit suitable boundary value problems. Within the latter framework an example is given.