Lie symmetry analysis and conservation laws for the (2+1)-dimensional Mikhalev equation

dc.contributor.authorLi, Xinyue
dc.contributor.authorZhang, Yongli
dc.contributor.authorZhang, Huiqun
dc.contributor.authorZhao, Qiulan
dc.date.accessioned2021-08-26T16:49:05Z
dc.date.available2021-08-26T16:49:05Z
dc.date.issued2021-05-07
dc.description.abstractLie symmetry analysis is applied to the (2+1)-dimensional Mikhal\"ev equation, which can be reduced to several (1+1)-dimensional partial differential equations with constant coefficients or variable coefficients. Then we construct exact explicit solutions for part of the above (1+1)-dimensional partial differential equations. Finally, the conservation laws for the (2+1)-dimensional Mikhal\"ev equation are constructed by means of Ibragimov's method.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLi, X., Zhang, Y., Zhang, H., & Zhao, Q. (2021). Lie symmetry analysis and conservation laws for the (2+1)-dimensional Mikhalev equation. <i>Electronic Journal of Differential Equations, 2021</i>(41), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14451
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subject(2+1)-dimensional Mikhalev equation
dc.subjectLie symmetry analysis
dc.subjectSimilarity reduction
dc.subjectConservation law
dc.subjectExact solution
dc.titleLie symmetry analysis and conservation laws for the (2+1)-dimensional Mikhalev equation
dc.typeArticle

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