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Interacting dark energy models are widely renowned for giving an explanationto the cosmic coincidence problem as well as several observational issues.According to the recent observational data, and so far we are concerned withthe literature, the choice of the interaction function between dark matter anddark energy is always questionable since there is no such underlying theorythat could derive it. Thus, in this work we have raised this issue by proposingtwo new nonlinear interaction functions and constrain them using cosmicmicrowave background (CMB) from Planck 2018, baryon acoustic oscillations(BAO), dark energy survey and a measurement of the Hubble constant $H_0$ fromHubble Space Telescope (HST) 2019. The dark energy equation of state isconsidered to be constant throughout the work and the geometry of the universeis assumed to be homogeneous and isotropic with zero spatial curvature. Ouranalyses report that a non-zero interaction is always allowed by theobservational data and the dark energy equation of state is bent towards thephantom regime. In particular, when $H_0$ from HST is added to Planck 2018+BAO,we find an evidence for a non-zero coupling at more than $2\sigma$ confidencelevel. Our analyses also report that for both the models, $H_0$ is close to itslocal measurements and thus alleviating the $H_0$ tension. In particular, oneof the interacting models perfectly solves the $H_0$ tension.

Nonlinear interacting cosmological models after Planck 2018 legacy release and the $H_0$ tension