  In this note we construct mixed dimensional infinite soliton trains, which
are solutions of nonlinear Schr\"odinger equations whose asymptotic profiles at
time infinity consist of infinitely many solitons of multiple dimensions. For
example infinite line-point soliton trains in 2D space, and infinite
plane-line-point soliton trains in 3D space. This note extends the works of Le
Coz, Li and Tsai [5, 6], where single dimensional trains are considered. In our
approach, spatial $L^\infty$ bounds for lower dimensional trains play an
essential role.
