Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model

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 graphical...

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Veröffentlicht in:Chaos (Woodbury, N.Y.) N.Y.), 2013-03, Vol.23 (1), p.013122-013122
Hauptverfasser: Lü, Xing, Peng, Mingshu
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.4790827