Nonautonomous solitons and interactions for a variable-coefficient resonant nonlinear Schrödinger equation

A variable-coefficient resonant nonlinear Schrödinger (vc-RNLS) equation is considered in this paper. Binary Bell polynomials are employed to obtain the bilinear form and multi-soliton solutions under the integrable conditions. Four types of nonautonomous solitons are derived including the parabolic soliton, compressed soliton, phase-shifted soliton and periodic soliton. Propagation dynamics for each type is analyzed in detail. Nonautonomous resonant and intermediate-state soliton interactions are found to be existent under certain conditions. Specially, periodic soliton interactions are discussed, which shows that the periodic dispersion has no effect on the generation of resonance and intermediate-state solitons. Those analysis might have the applications in optical communication systems with the black hole physics flavor.