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Pulsar timing arrays (PTAs) might detect gravitational waves (GWs) frommassive black hole (MBH) binaries within this decade. The signal is expected tobe an incoherent superposition of several nearly-monochromatic waves ofdifferent strength. The brightest sources might be individually resolved, andthe overall deconvolved, at least partially, in its individual components. Inthis paper we extend the maximum-likelihood based method developed in Babak &Sesana 2012, to search for individual MBH binaries in PTA data. We model thesignal as a collection of circular monochromatic binaries, each characterizedby three free parameters: two angles defining the sky location, and thefrequency. We marginalize over all other source parameters and we apply anefficient multi-search genetic algorithm to maximize the likelihood functionand look for sources in synthetic datasets. On datasets characterized by whiteGaussian noise plus few injected sources with signal-to-noise ratio (SNR) inthe range 10-60, our search algorithm performs well, recovering all theinjections with no false positives. Individual source SNRs are estimated withinfew % of the injected values, sky locations are recovered within few degrees,and frequencies are determined with sub-Fourier bin precision.

Resolving multiple supermassive black hole binaries with pulsar timing arrays II: genetic algorithm implementation