Higher-dimensional vector two-component solitons of a nonautonomous partially nonlocal coupled NLS model in a linear and harmonic potential

A nonautonomous ( 3 + 1 )-dimensional partially nonlocal coupled NLS model in a linear and harmonic potential becomes the center of attention. Two kinds of reductions from this nonautonomous coupled equation into ( 1 + 1 )D and ( 2 + 1 )D constant-coefficient coupled ones are elucidated. Utilizing these solutions of constant-coefficient coupled equations via the Hirota’s bilinearization method, and by means of two kinds of reductions, two families of higher-dimensional vector two-component soliton solutions are deduced, including bright–dark vector two-component one-soliton solution and two-soliton solution, and vector two-component first-order localized soliton solution. Expansion and compression of these higher-dimensional vector two-component solitons are unfolded in the exponential diffraction system with the periodic modulation.