Li, XinyueZhang, YongliZhang, HuiqunZhao, Qiulan2021-08-262021-08-262021-05-07Li, 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. 1-14.1072-6691https://hdl.handle.net/10877/14451Lie 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.Text14 pages1 file (.pdf)enAttribution 4.0 International(2+1)-dimensional Mikhalev equationLie symmetry analysisSimilarity reductionConservation lawExact solutionArticle