Stable flat-top solitons and peakons in the PT-symmetric δ-signum potentials and nonlinear media.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5100294
Abstract: We discover that the physically interesting PT-symmetric Dirac delta-function potentials can not only make sure that the non-Hermitian Hamiltonians admit fully-real linear spectra but also support stable peakons (nonlinear modes) in the Kerr nonlinear Schrödinger… read more here.
Keywords: flat top; symmetric signum; stable flat; top solitons ... See more keywords
Effective potentials in nonlinear polycrystals and quadrature formulae
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2017.0213
Abstract: This study presents a family of estimates for effective potentials in nonlinear polycrystals. Noting that these potentials are given as averages, several quadrature formulae are investigated to express these integrals of nonlinear functions of local… read more here.
Keywords: effective potentials; nonlinear polycrystals; quadrature formulae; potentials nonlinear ... See more keywords