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 …