Highly dispersive embedded solitons with quadratic?((2)) and cubic?((3)) non-linear susceptibilities having multiplicative white noise via Ito calculus

The objective of this article is to investigate highly dispersive embedded solitons characterized by ?((2)) and ?((3)) non-linear susceptibilities, and incorporating multiplicative white noise in the Ito sense. To achieve this, we utilize both the new auxiliary equation method and an addendum to Kudryashov's method. The analysis conducted in this study results in solutions for bright solitons, singular solitons, and combo bright-singular solitons. Simulations of the bright soliton solutions are given. The system being studied and the outcomes outlined in the manuscript are innovative and original.

Automated summary

The objective of this article is to investigate highly dispersive embedded solitons characterized by ?((2)) and ?((3)) non-linear susceptibilities, and incorporating multiplicative white noise in the Ito sense. To achieve this, we utilize both the new auxiliary equation method and an addendum to Kudryashov's method. The analysis conducted in this study results in solutions for bright solitons, singular solitons, and combo bright-singular solitons. Simulations of the bright soliton solutions are given. The system being studied and the outcomes outlined in the manuscript are innovative and original.