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

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
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
Series:AIMS Mathematics
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

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https://www.aimspress.com/article/doi/10.3934/math.20231514?viewType=HTML

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