Within the one-nucleon exchange approximation, collinear kinematics and invariant-amplitude method with the one-nucleon-exchange assumption, the elastic deuteron–proton scattering is considered. Calculations of polarisation characteristics of T$_{20}$, $_{κ0}$, T$_{20}$+2√2$_{κ0}$ vs. k, Cyy, K$^ y$$_y$ , K$^y$$_ {xz}$ for the deuteron wave function in coordinate representation for theArgonne v18 potential, are demonstrated. Experimental data are better described by theoretical predictions using the invariant-amplitude method than by the impulse approximation and in collinear kinematics. The obtained theoretical values of the tensor analysing power T$_{20}$ and the polarisation transfer coefficient κ0 in the choice of the deuteron wave function for the fss2 baryon–baryon model, Bonn one-boson-exchange potential, Argonne v18 and Paris potentials, are in good agreement with the experimental data of leading collaborations andreviews.