Ultrashort nonautonomous similariton solutions and the cascade tunneling of interacting similaritons

摘要: Abstract Similarity transformation and Hirota bilinearization are deployed to derive exact bright dark ultrashort one- two-similariton solutions of a nonautonomous cubic–quintic nonlinear Schrodinger equation. Such wave packets may emerge when group-velocity dispersion self-phase modulations balanced by Raman self-frequency shift in the presence an external harmonic trap linear gain or loss. The presented here can be used investigate compression, amplification interaction phenomena associated with similaritons inhomogeneous fiber systems. Furthermore, dynamics characteristic parameters studied analytically, similariton stability distributed system is tested through extensive computations. As example application, tunneling behavior cascade barriers wells on exponential background investigated, some interesting novel features uncovered which expected facilitate control experimental scenarios.