Pure-Cubic Optical Solitons With Kerr Law By Laplace-Adomian Decomposition

O. Gonzalez-Gaxiola, Anjan Biswas*, Yakup Yıldırım, Asim Asiri

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 107.

Original languageEnglish
Pages (from-to)3225-3236
Number of pages12
JournalJournal of Applied Science and Engineering (Taiwan)
Issue number10
Publication statusPublished - 2024
Externally publishedYes


  • Cubic nonlinearity
  • Generalized third order NLSE
  • Laplace-Adomian decomposition method
  • Pure-cubic optical solitons


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