Lie symmetry analysis and conservation laws for the (2+1)-dimensional Mikhalev equation
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Date
2021-05-07
Authors
Li, Xinyue
Zhang, Yongli
Zhang, Huiqun
Zhao, Qiulan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
Lie 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.
Description
Keywords
(2+1)-dimensional Mikhalev equation, Lie symmetry analysis, Similarity reduction, Conservation law, Exact solution
Citation
Li, 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.
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Attribution 4.0 International