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Cubic-quartic bright optical solitons with improved Adomian decomposition method.

O González-Gaxiola1, Anjan Biswas2,3,4,5, Fouad Mallawi3

  • 1Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana-Cuajimalpa, Vasco de Quiroga 4871, 05348 Mexico City, Mexico.

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Summary
This summary is machine-generated.

This study numerically retrieves cubic-quartic solitons in nonlinear optical systems. An improved Adomian decomposition method was used, with error analysis confirming the results.

Keywords:
Cubic-quartic solitonsHigher-order dispersionLaplace transformRefractive index

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Area of Science:

  • Nonlinear optics
  • Mathematical physics

Background:

  • Solitons are self-reinforcing optical wave packets.
  • Nonlinear refractive index effects are crucial in optical systems.
  • Power-law nonlinearity is a common model in nonlinear optics.

Purpose of the Study:

  • To numerically retrieve cubic-quartic solitons.
  • To investigate solitons in media with a power-law nonlinearity.
  • To analyze the accuracy of the numerical method.

Main Methods:

  • Numerical retrieval of solitons.
  • Application of an improved Adomian decomposition scheme.
  • Error analysis for validation.

Main Results:

  • Successfully retrieved cubic-quartic solitons.
  • Demonstrated the effectiveness of the improved Adomian decomposition scheme.
  • Provided established error analysis for the numerical results.

Conclusions:

  • The improved Adomian decomposition scheme is effective for retrieving cubic-quartic solitons.
  • Numerical simulations confirm the existence of these solitons under power-law nonlinearity.
  • The error analysis validates the reliability of the obtained solutions.