Abstract
We follow our interest in a nonautonomous (2+1)-dimensional coupled nonlinear Schrodinger equation with partially nonlocal nonlinear effect and a linear potential, and get a relational expression mapping nonautonomous equation into autonomous one. Further applying the Darboux method, we find affluent vector and scalar solutions, including the crossed double-Ma breather solution. Regulating values of initial width, initial chirp and diffraction parameters so that the maximal value of accumulated time changes to compare with values of peak positions, we actualize the controlling effect of vector and scalar crossed double-Ma breathers including the complete shape, crest shape and nascent shape excitations in different linear potentials.
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