TY - JOUR
T1 - Solitons under spatially localized cubic-quintic-septimal nonlinearities
AU - Fabrelli, H.
AU - Sudharsan, J. B.
AU - Radha, R.
AU - Gammal, A.
AU - Malomed, Boris A.
N1 - Publisher Copyright:
© 2017 IOP Publishing Ltd.
PY - 2017/7
Y1 - 2017/7
N2 - We explore stability regions for solitons in the nonlinear Schrödinger equation with a spatially confined region carrying a combination of self-focusing cubic and septimal terms, with a quintic one of either focusing or defocusing sign. This setting can be implemented in optical waveguides based on colloids of nanoparticles. The solitons' stability is identified by solving linearized equations for small perturbations, and is found to fully comply with the Vakhitov-Kolokolov criterion. In the limit case of tight confinement of the nonlinearity, results are obtained in an analytical form, approximating the confinement profile by a delta-function. It is found that the confinement greatly increases the largest total power of stable solitons, in the case when the quintic term is defocusing, which suggests a possibility to create tightly confined high-power light beams guided by the spatial modulation of the local nonlinearity strength.
AB - We explore stability regions for solitons in the nonlinear Schrödinger equation with a spatially confined region carrying a combination of self-focusing cubic and septimal terms, with a quintic one of either focusing or defocusing sign. This setting can be implemented in optical waveguides based on colloids of nanoparticles. The solitons' stability is identified by solving linearized equations for small perturbations, and is found to fully comply with the Vakhitov-Kolokolov criterion. In the limit case of tight confinement of the nonlinearity, results are obtained in an analytical form, approximating the confinement profile by a delta-function. It is found that the confinement greatly increases the largest total power of stable solitons, in the case when the quintic term is defocusing, which suggests a possibility to create tightly confined high-power light beams guided by the spatial modulation of the local nonlinearity strength.
KW - collisional inhomogeneity
KW - cubic-quintic-septimal
KW - nonlinear Schrodinger equation
KW - solitons
UR - http://www.scopus.com/inward/record.url?scp=85023776480&partnerID=8YFLogxK
U2 - 10.1088/2040-8986/aa7375
DO - 10.1088/2040-8986/aa7375
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AN - SCOPUS:85023776480
SN - 2040-8978
VL - 19
JO - Journal of Optics (United Kingdom)
JF - Journal of Optics (United Kingdom)
IS - 7
M1 - 075501
ER -