Coupled nonlinear Schrodinger equations with cubic-quintic nonlinearity: Integrability and soliton interaction in non-Kerr media

摘要

We propose an integrable system of coupled nonlinear Schrodinger equationswith cubic-quintic terms describing the effects of quintic nonlinearity on theultra-short optical soliton pulse propagation in non-Kerr media. Lax pair,conserved quantities and exact soliton solutions for the proposed integrablemodel are given. Explicit form of two-solitons are used to study solitoninteraction showing many intriguing features including inelastic (shapechanging) scattering. Another novel system of coupled equations withfifth-degree nonlinearity is derived, which represents vector generalization ofthe known chiral-soliton bearing system.