Applications of the invariant subspace method on searching explicit solutions to certain special-type non-linear evolution equations

Applications of the invariant subspace method on searching explicit solutions to certain special-type non-linear evolution equations

We extend the invariant subspace method (ISM) to a class of Hamilton–Jacobi equations (HJEs) and a family of third-order time-fractional dispersive PDEs with the Caputo fractional derivative in this letter. More precisely, the complete classification is presented for such HJEs that admit invariant s...

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Bibliographic Details
Main Authors: Gaizhu Qu, Mengmeng Wang, Shoufeng Shen
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-03-01
Series:Frontiers in Physics
Subjects:
exact solution
Hamilton–Jacobi equation
complete classification
invariant subspace method
Laplace transform
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2023.1160391/full

Internet

https://www.frontiersin.org/articles/10.3389/fphy.2023.1160391/full

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