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General rational solutions for the nonlocal resonant nonlinear Schrodingerequations are derived by using the Hirota bilinear method and the KP hierarchyreduction method. These rational solutions are presented in terms ofdeterminants in which the elements are algebraic expressions. A weakercondition is given for KP reduction in the nonlocal case. The dynamics offirst-order solutions are investigated in details. As a special case, westudied rantional solutions of the RNLS equation. Moreover, soliton solutionsof the RNLS equation are given by using the Backlund transformation andnonlinear superposition formula.

General Rational Solutions and Soliton Solutions of the Nonlocal Resonant Nonlinear Schrodinger Equations