<p>The main objective of our study is to explore the arising ultra-short pulses forms from the Third-Order Nonlinear Schrödinger Equation. This equation is considered the famous one that modeling optics fiber pulses, specially describes the light transmission in optical fiber. Throughout the mentioned equation we can determine the exact effect of the Ultra-Short Pulses generations and its dynamical Behaviors on the optical fibers light transmission. We will utilize five various impressive techniques that have various tools in its preparation and weren’t applied before for this target. These suggested techniques are the Generalized Kudryashov Technique, the (G'/G)-Expansion Technique, the Paul-Painlevé Approach Technique, the Extended Simple Equation Method Technique and the Ricatti-Bernoulli-Sub-Ordinary Differential Technique. The influences of generated ultra-short pulses on the Optical Fibers Light Transmission via the five techniques have been documented. The extracted ultra-short pulses behaviors via the proposed techniques appeared in forms like hyperbolic function soliton solution, singular soliton solution and other rational soliton solution. The 2D, 3D figures that show ultra-short pulses dynamical behaviors are presented.</p>

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Exact analytical investigation of the third-order nonlinear Schrödinger equation that describes light transmission in optical fiber

  • E. H. M. Zahran,
  • A. Bekir,
  • M. S. M. Shehata,
  • A. C. Cevikel

摘要

The main objective of our study is to explore the arising ultra-short pulses forms from the Third-Order Nonlinear Schrödinger Equation. This equation is considered the famous one that modeling optics fiber pulses, specially describes the light transmission in optical fiber. Throughout the mentioned equation we can determine the exact effect of the Ultra-Short Pulses generations and its dynamical Behaviors on the optical fibers light transmission. We will utilize five various impressive techniques that have various tools in its preparation and weren’t applied before for this target. These suggested techniques are the Generalized Kudryashov Technique, the (G'/G)-Expansion Technique, the Paul-Painlevé Approach Technique, the Extended Simple Equation Method Technique and the Ricatti-Bernoulli-Sub-Ordinary Differential Technique. The influences of generated ultra-short pulses on the Optical Fibers Light Transmission via the five techniques have been documented. The extracted ultra-short pulses behaviors via the proposed techniques appeared in forms like hyperbolic function soliton solution, singular soliton solution and other rational soliton solution. The 2D, 3D figures that show ultra-short pulses dynamical behaviors are presented.