Soluciones solitarias y solitónicas del modelo fraccionario no lineal de Chen Lee Liu con derivada beta
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Ver abstracta en PubMed
Resumen
Este resumen es generado por máquina.Los investigadores exploraron la comunicación de fibra óptica utilizando el modelo no lineal Chen-Lee-Liu (NCLL). Los nuevos métodos produjeron diversas soluciones solitarias y solitarias, mejorando el diseño del sistema y la confiabilidad de la transmisión de datos.
Área De La Ciencia
- Óptica y fotónica
- Dinámica no lineal
- Modelado matemático
Sus Antecedentes
- El modelo no lineal Chen-Lee-Liu (NCLL) es vital para los sistemas de comunicación de fibra óptica.
- Cuenta con el ruido, la dispersión y la no linealidad que afectan la calidad de la señal y las velocidades de datos.
- El modelo NCLL ayuda a optimizar el diseño del sistema de fibra óptica.
Objetivo Del Estudio
- Investigar soluciones solitarias y solitónicas para el modelo NCLL con un derivado beta.
- Aplicar los nuevos métodos de la función hiperbólica extendida (NEHF) y la función racional exponencial generalizada (NGERF).
- Generar y verificar nuevas soluciones de forma cerrada para la comunicación por fibra óptica.
Principales Métodos
- Utilizó herramientas de cálculo simbólico (Mathematica 11.3, Maple).
- Empleó el nuevo método de función hiperbólica extendida (NEHF) para derivar soluciones en formas hiperbólicas, trigonométricas, polinómicas y exponenciales.
- Empleó el método de función racional exponencial generalizada (NGERF) para derivar soluciones en formas hiperbólicas, trigonométricas y exponenciales.
Principales Resultados
- Derivaron varias soluciones de solitón óptico de forma cerrada, incluidos perfiles periódicos, kink, solitón múltiple y singular.
- Identificó diversos tipos de soluciones, como soluciones mixtas singulares, hiperbólicas mixtas y de choque complejo.
- Se verificó la exactitud de las soluciones recién obtenidas mediante la sustitución en la ecuación NCLL.
Conclusiones
- Los métodos NEHF y NGERF son fiables y eficientes para resolver la ecuación NCLL.
- Estas metodologías pueden generar una amplia gama de soluciones de solitones ópticos.
- Los hallazgos contribuyen a avanzar en la comprensión y optimización de los sistemas de comunicación por fibra óptica.
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