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The recently observed chirping signature in the light curves of Seyfert 1galaxy SDSSJ1430$+$2303 could be explained by a late-inspiralling supermassivebinary black hole (SMBBH) system in the galactic center, which will merge inthe near future (or could have merged already). For the merging SMBBH scenario,SDSSJ1430$+$2303 can be a source of nonlinear gravitational wave (GW) burstwith memory (BWM), which may provide a promising target for future pulsartiming array (PTA) observations. In this work, we investigate the prospects fordetecting the BWM signal from SDSSJ1430$+$2303 by the International PTA (IPTA)and FAST-PTA in the next $5$ years. We firstly propose strategies on searchingfor this target signal, including the selection of millisecond pulsars (MSPs)and the distribution of observation time. Then we simulate PTA observationsbased on the proposed strategies and obtain the probability density functionsof the network signal-to-noise ratio and parameter-estimation errors of the BWMsignal, considering the uncertainties of parameters of the SMBBH and both whiteand red noises of the selected MSPs. Our result shows that although IPTA canmarginally detect the BWM in $5$ years, FAST-PTA can detect it withsignificantly higher confidence. Moreover, the archived IPTA data is importantin estimating the merger time of the SMBBH, when combined with the FAST-PTAdata. This work can serve as a guidance for future PTA observations andmulti-messenger studies on SDSSJ1430$+$2303 and similar systems.

Prospects and Strategies for Detecting Nonlinear Gravitational Wave  Burst with Memory from Potential Merger Event SDSSJ1430$+$2303 by Pulsar  Timing Arrays