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The effect of isoscalar S-wave processes$\pi\pi\to\pi\pi,K\overline{K},\eta\eta$ is considered in the analysis of data(from the ARGUS, CLEO, CUSB, Crystal Ball, Belle, BABAR collaborations) on thebottomonia decays --- $\Upsilon(mS)\to\Upsilon(nS)\pi\pi$ ($m>n, m=2,3,4,5,n=1,2,3$). It is shown that the dipion mass spectra of these decays areexplained by the unified mechanism related to the contribution of themultichannel $\pi\pi$ scattering in the final states of these reactions. Sincein the analysis the multichannel $\pi\pi$-scattering amplitudes did not changein comparison with the ones in our combined analysis of data on themultichannel $\pi\pi$ scattering and on the charmonia decays ---$J/\psi\to\phi(\pi\pi, K\overline{K})$ and $\psi(2S)\to J/\psi(\pi\pi)$ (fromthe Crystal Ball, DM2, Mark II, Mark III, and BES II) --- the results confirmall our earlier conclusions on the scalar mesons.

Effect of coupled channels of the multi-channel pion-pion scattering in two-pion transitions of the $\Upsilon$ mesons