On the Properties of a Nonlocal Nonlinear Schrödinger Model and Its Soliton Solutions

Horikis, Theodoros P.; Frantzeskakis, D. J.

doi:10.1007/978-3-319-89815-5_14

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2021

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“…The last four terms characterize the potential for pulse propagation in an optical fiber. Let us note that the governing system (1)-( 2) has the following properties: non-local nonlinearity (this feature leads to obtaining of stable soliton solutions 35 ); arbitrary refractive index n (the index n arbitrariness generalizes the governing model); additional terms s v and r u (these terms are responsible for the reflective properties of waves and correspond to the Bragg gratings description).…”

Section: Introductionmentioning

confidence: 99%

Solitary waves described by a high‐order system in optical fiber Bragg gratings with arbitrary refractive index

Кан

Kudryashov

2021

Math Methods in App Sciences

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A system of the fourth-order nonlinear differential equations for description of wave propagation in optical fiber Bragg gratings is considered. This system of equations also takes into account arbitrary refractive index. The model includes non-local nonlinearity too. The studied system of equations is transformed into a system of ordinary differential equations using traveling wave variables. Compatibility conditions for the obtained system are defined and analyzed. Exact solutions of the model in the form of solitary waves are found.

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Section: Introductionmentioning

confidence: 99%