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After several gravitational wave transients were discovered since 2015,studying neutrino signals coincident with the gravitational wave events nowbecomes an important mission for the existing neutrino experiments.Unfortunately, no candidate neutrinos have been found yet. This articleintroduces a method to find the neutrino excess to search for the potentialneutrinos from gravitational wave sources at the future reactor neutrinoexperiment (such as JUNO and RENO-50). According to our calculations andsimulations, the non-detection of $\bar\nu_e$ associated with gravitationalwaves at the nominal JUNO experiment gives rise to the $\bar\nu_e$ signalsensitivity at 90$\%$ confidence level (C.L.), $\mu_{90}$ = 2.44. Thiscorresponds to the range of neutrino fluence on the Earth around 6 $\times$10$^{10}$ cm$^{-2}$ to 4 $\times$ 10$^{10}$ cm$^{-2}$ with neutrino energyrange from 1.8 MeV to 120 MeV at monochromatic energy spectrum assumption.Based on certain popular models which describe the gravitational wave sources,we calculate the corresponding fluence ($F_{UL}^{90}$), which is around 1 - 3$\times$ 10$^{8}$ cm$^{-2}$ for both monochromatic energy spectrum assumptionand Fermi-Dirac energy spectrum assumption. Then we convert $F_{UL}^{90}$ intothe detectable distance ($D_\text{UL}^{90}$), about 1 - 3 Mpc for twoassumptions, with the predicted luminosities in these known models. To furtherimprove the sensitivity, we discuss the potential benefits from an extradetector, with different target masses and baselines. Particularly, there willbe around 38\% sensitivity improvement and around 28$\%$ detectable distanceincreasing if the extra detector is designed to be identical to the JUNOdetector. On the other hand, instead of building an extra detector, if wecombine the JUNO experiment with the RENO-50 experiment, the sensitivity willalso be significantly improved.

The determination capability of potential neutrinos from gravitational  wave sources and contributions of extra detector at the future reactor  neutrino experiment