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arXiv · 2409.02928

A note on exact results for Burgers-like equations involving Laguerre derivatives

Giuseppe Dattoli·Riccardo Droghei·Roberto Garra
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Abstract

In this note, we consider some Burgers-like equations involving Laguerre derivatives and demonstrate that it is possible to construct specific exact solutions using separation of variables. We prove that a general scheme exists for constructing exact solutions for these Burgers-like equations, extending to more general cases, including nonlinear time-fractional equations. Exact solutions can also be obtained for KdV-like equations involving Laguerre derivatives. We finally consider a particular class of Burgers equations with variable coefficients whose solution can be obtained similarly.

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Giuseppe Dattoli, Riccardo Droghei, Roberto Garra. 2024-08-19. A note on exact results for Burgers-like equations involving Laguerre derivatives. https://arxiv.org/abs/2409.02928

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