Classification of classical and non-local symmetries of fourth-order nonlinear evolution equations - Nonlinear Sciences > Exactly Solvable and Integrable SystemsReport as inadecuate




Classification of classical and non-local symmetries of fourth-order nonlinear evolution equations - Nonlinear Sciences > Exactly Solvable and Integrable Systems - Download this document for free, or read online. Document in PDF available to download.

Abstract: In this paper, we consider group classification of local and quasi-localsymmetries for a general fourth-order evolution equations in one spatialvariable. Following the approach developed by Zhdanov and Lahno, we constructall inequivalent evolution equations belonging to the class under study whichadmit either semi-simple Lie groups or solvable Lie groups. The obtained listsof invariant equations up to a local change of variables contain both thewell-known equations and a variety of new ones possessing rich symmetry. Basedon the results on the group classification for local symmetries, the groupclassification for quasi-local symmetries of the equations is also given.



Author: Qing Huang, C.Z.Qu, R.Zhdanov

Source: https://arxiv.org/



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