Symmetry analysis and conservation laws of time fractional Airy type and other KdV type equations

Miguel Vivas-Cortez; Yasir Masood; Absar Ul Haq; Imran Abbas Baloch; Abdul Hamid Kara; F. D. Zaman

doi:10.3934/math.20231514

Symmetry analysis and conservation laws of time fractional Airy type and other KdV type equations

Miguel Vivas-Cortez, Yasir Masood, Absar Ul Haq, Imran Abbas Baloch, Abdul Hamid Kara, F. D. Zaman

Facultad de Ciencias Exactas y Naturales

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

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Resumen

We study the invariance properties of the fractional time version of the nonlinear class of equations (formula presented) using some recently developed symmetry-based techniques. The equations reduce to ordinary fractional Airy type, Korteweg-de Vries (KdV) and modified KdV equations through the change of variables provided by the symmetries. Furthermore, we utilize the symmetries to construct conservation laws for the fractional partial differential equations.

Idioma original	Inglés
Páginas (desde-hasta)	29569-29576
Número de páginas	8
Publicación	AIMS Mathematics
Volumen	8
N.º	12
DOI	https://doi.org/10.3934/math.20231514
Estado	Publicada - 2023

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abstract = "We study the invariance properties of the fractional time version of the nonlinear class of equations (formula presented) using some recently developed symmetry-based techniques. The equations reduce to ordinary fractional Airy type, Korteweg-de Vries (KdV) and modified KdV equations through the change of variables provided by the symmetries. Furthermore, we utilize the symmetries to construct conservation laws for the fractional partial differential equations.",

keywords = "Airy equation, KdV equation, Lie symmetries, conservation laws, modified KdV equation, transformation groups",

author = "Miguel Vivas-Cortez and Yasir Masood and Haq, {Absar Ul} and Baloch, {Imran Abbas} and Kara, {Abdul Hamid} and Zaman, {F. D.}",

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AU - Masood, Yasir

AU - Haq, Absar Ul

AU - Baloch, Imran Abbas

AU - Kara, Abdul Hamid

AU - Zaman, F. D.

PY - 2023

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N2 - We study the invariance properties of the fractional time version of the nonlinear class of equations (formula presented) using some recently developed symmetry-based techniques. The equations reduce to ordinary fractional Airy type, Korteweg-de Vries (KdV) and modified KdV equations through the change of variables provided by the symmetries. Furthermore, we utilize the symmetries to construct conservation laws for the fractional partial differential equations.

AB - We study the invariance properties of the fractional time version of the nonlinear class of equations (formula presented) using some recently developed symmetry-based techniques. The equations reduce to ordinary fractional Airy type, Korteweg-de Vries (KdV) and modified KdV equations through the change of variables provided by the symmetries. Furthermore, we utilize the symmetries to construct conservation laws for the fractional partial differential equations.

KW - Airy equation

KW - KdV equation

KW - Lie symmetries

KW - conservation laws

KW - modified KdV equation

KW - transformation groups

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ER -

Symmetry analysis and conservation laws of time fractional Airy type and other KdV type equations

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