Supratransmission in discrete one-dimensional lattices with the cubic–quintic nonlinearity View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-02

AUTHORS

Alain Bertrand Togueu Motcheyo, Masayuki Kimura, Yusuke Doi, Clément Tchawoua

ABSTRACT

We numerically analyzed the supratransmission phenomenon in the discrete nonlinear Schrödinger equation with the cubic–quintic nonlinearity. It has been reported that the homoclinic nonlinear band-gap threshold matches very well with the model. In the case of the cooperation between the nonlinearities (self-focusing cubic and quintic terms), the train of discrete band-gap waves overcomes the potential barrier of the first sites before merging or rebounding. In the case of competing self-focusing cubic and defocusing quintic nonlinearities, it is found that the lattice induces the generation of the train of dark solitons carried by a traveling kink and the traveling kink for chosen driving amplitude. More... »

PAGES

2461-2468

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11071-018-4707-y

DOI

http://dx.doi.org/10.1007/s11071-018-4707-y

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1110638822


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