TY - JOUR
T1 - Pure-Cubic Optical Solitons With Kerr Law By Laplace-Adomian Decomposition
AU - Gonzalez-Gaxiola, O.
AU - Biswas, Anjan
AU - Yıldırım, Yakup
AU - Asiri, Asim
N1 - Publisher Copyright:
© The Author(’s).
PY - 2024
Y1 - 2024
N2 - This paper retrieves pure-cubic optical solitons for the nonlinear Schrödinger’s equation when chromatic dispersion term is dropped due to its low count. This model with the inclusion of third-order dispersion after dropping chromatic dispersion maintains the necessary balance between dispersion and self-phase modulation for the solitons to sustain. The Laplace-Adomian decomposition scheme is applied to recover such pure-cubic soliton solutions. The surface plots as well as the contour plots for bright and dark soliton solutions are displayed. The results are profoundly significant and novel. The numerical simulation for pure-cubic solitons is being reported for the very first time in this paper. While in the past, solitons were studied with chromatic dispersion, this is the first-time solitons are being addressed, and that too numerically, with pure-cubic dispersion format. The radiation effects are ignored to focus on the core soliton regime. The results are impressive and promising. The two-dimensional numerical simulation and the exact solutions to the model are almost a perfect match. The error table displays a measure of the order of 10−7.
AB - This paper retrieves pure-cubic optical solitons for the nonlinear Schrödinger’s equation when chromatic dispersion term is dropped due to its low count. This model with the inclusion of third-order dispersion after dropping chromatic dispersion maintains the necessary balance between dispersion and self-phase modulation for the solitons to sustain. The Laplace-Adomian decomposition scheme is applied to recover such pure-cubic soliton solutions. The surface plots as well as the contour plots for bright and dark soliton solutions are displayed. The results are profoundly significant and novel. The numerical simulation for pure-cubic solitons is being reported for the very first time in this paper. While in the past, solitons were studied with chromatic dispersion, this is the first-time solitons are being addressed, and that too numerically, with pure-cubic dispersion format. The radiation effects are ignored to focus on the core soliton regime. The results are impressive and promising. The two-dimensional numerical simulation and the exact solutions to the model are almost a perfect match. The error table displays a measure of the order of 10−7.
KW - Cubic nonlinearity
KW - Generalized third order NLSE
KW - Laplace-Adomian decomposition method
KW - Pure-cubic optical solitons
UR - http://www.scopus.com/inward/record.url?scp=85185761914&partnerID=8YFLogxK
U2 - 10.6180/jase.202410_27(10).0003
DO - 10.6180/jase.202410_27(10).0003
M3 - Article
AN - SCOPUS:85185761914
SN - 2708-9967
VL - 27
SP - 3225
EP - 3236
JO - Journal of Applied Science and Engineering
JF - Journal of Applied Science and Engineering
IS - 10
ER -