TY - JOUR
T1 - IMPLICIT QUIESCENT OPTICAL SOLITONS WITH GENERALIZED QUADRATIC–CUBIC FORM OF SELF–PHASE MODULATION AND NONLINEAR CHROMATIC DISPERSION BY LIE SYMMETRY
AU - Adem, Abdullahi Rashid
AU - Biswas, Anjan
AU - Yildirim, Yakup
AU - Jawad, Anwar Jaafar Mohamad
AU - Alshomrani, Ali Saleh
N1 - Publisher Copyright:
© 2024, Institute of Physical Optics. All rights reserved.
PY - 2024
Y1 - 2024
N2 - The current paper extracts the implicit form of quiescent optical solitons that emerge from the nonlinear Schrödinger’s equation with the generalized form of quadratic–cubic nonlinear refractive index change. The work is with linear temporal evolution as well as with generalized temporal evolution. The results are in terms of Appell hypergeometric functions as in the case of the quadratic–cubic form of nonlinear refractive index, reported earlier. Lie symmetry analysis has made this retrieval possible.
AB - The current paper extracts the implicit form of quiescent optical solitons that emerge from the nonlinear Schrödinger’s equation with the generalized form of quadratic–cubic nonlinear refractive index change. The work is with linear temporal evolution as well as with generalized temporal evolution. The results are in terms of Appell hypergeometric functions as in the case of the quadratic–cubic form of nonlinear refractive index, reported earlier. Lie symmetry analysis has made this retrieval possible.
KW - Lie symmetry
KW - quiescent optical solitons
UR - http://www.scopus.com/inward/record.url?scp=85194140859&partnerID=8YFLogxK
U2 - 10.3116/16091833/Ukr.J.Phys.Opt.2024.02016
DO - 10.3116/16091833/Ukr.J.Phys.Opt.2024.02016
M3 - Article
AN - SCOPUS:85194140859
SN - 1609-1833
VL - 25
SP - 2016
EP - 2020
JO - Ukrainian Journal of Physical Optics
JF - Ukrainian Journal of Physical Optics
IS - 2
ER -