title: Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model.
abstract: In this paper, the nonautonomous Lenells-Fokas (LF) model is studied with the bilinear method and symbolic computation. Such analytical solutions of the nonautonomous LF model as one-soliton, two-soliton, and earthwormons are derived. Nonautonomous characteristics are then symbolically and graphically investigated, and it is finally found that the soliton velocity is time-dependent, and there exist soliton accelerating and decelerating motions. Further, two necessary conditions for the occurrence of earthwormon acceleration and deceleration (and their alternation) are pointed out.
authors.affiliation: Department of Mathematics, Beijing Jiao Tong University, Beijing 100044, China. xinglv655@yahoo.com.cn
authors.forename: Xing
authors.initials: X
authors.lastname: Lü
authors.forename: Mingshu
authors.initials: M
authors.lastname: Peng
mesh_terms: D000054:Acceleration; D003198:Computer Simulation; D003654:Deceleration; D005336:Fiber Optic Technology / Q000295:instrumentation / Q000379:methods; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D055100:Optical Fibers; D010507:Periodicity; D013997:Time Factors