Lie Group Classifications and Non-differentiable Solutions for Time-Fractional Burgers Equation

DOI10.1088/0253-6102/55/6/23zbMath1264.35178arXiv1011.3692OpenAlexW3098377702WikidataQ115294102 ScholiaQ115294102MaRDI QIDQ4924624

Guo-Cheng Wu

Publication date: 7 June 2013

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3692

zbMATH Keywords

Lie group methodfractional characteristics methodfractional Burgers equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Applications of Lie groups to the sciences; explicit representations (22E70) Fractional partial differential equations (35R11)

Related Items (8)

A new method for constructing exact solutions for a time-fractional differential equation ⋮ On group invariant solutions of fractional order Burgers-Poisson equation ⋮ Group classification of nonlinear time-fractional diffusion equation with a source term ⋮ Relevance of the time-quasi-polynomials in the classic linear thermodynamic theory of coupled transport processes ⋮ Symmetry classification and exact solutions of a variable coefficient space-time fractional potential Burgers' equation ⋮ Efficient numerical schemes for the solution of generalized time fractional Burgers type equations ⋮ Radiating subdispersive fractional optical solitons ⋮ Lie group method and fractional differential equations

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