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

We study the invariance properties of the fractional time version of the nonlinear class of equations $ u_{t}^{\alpha}-g(u)\; u_{x}-f(u)\; u_{xxx} = 0 $, where $ 0 < \alpha < 1 $ using some recently developed symmetry-based techniques. The equations reduce to ordinary fractional Airy t...

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Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Miguel Vivas-Cortez, Yasir Masood, Absar Ul Haq, Imran Abbas Baloch, Abdul Hamid Kara, F. D. Zaman
Format:	Article
Language:	English
Published:	AIMS Press 2023-11-01
Subjects:	airy equation kdv equation modified kdv equation transformation groups lie symmetries conservation laws
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.20231514?viewType=HTML