In this paper, we propose a simplicial canonical piecewise-linear (SCPWL) model-based equalizer to mitigate nonlinear distortion resulting in inter symbol interference (ISI) in a super-resolution near-field structure (super-RENS) disc system. The proposed equalizer consists of the linear part represented by a finite impulse response (FIR) filter and the nonlinear part implemented using a SCPWL function. Its validity is tested using radio frequency (RF) signal samples obtained from a super-RENS disc. The raw bit error rate (BER) performance with the proposed equalizer is measured for various key parameters of the SCPWL model. The simulation results demonstrate that the proposed equalizer achieves outstanding raw BER performance improvement by effectively compensating for the nonlinear distortion introducing the ISI.