Abstract: In the present paper, an equation of nonlinear chromatography is derived from the physical chemistry A recursion formula of the symmetries of the equation as well as an infinite number of symmetries is found. A series of Bäcklund transformations of the equation are constructed by means of the symmetries. The exact solutions of two boundary-initial value problems on the half straight line for the equation are given in terms of the solutions of the corresponding linear problems.

Key words: symmetries, Bäcklund transformations, nonlinear boundary-initial value problems, exact solutions, equation of nonlinear chromatography