Xinyue Li, Yongli Zhang, Huiqun Zhang, Qiulan Zhao
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.
Submitted October 28, 2020. Published May 7, 2021.
Math Subject Classifications: 35Q53, 37K30;,37K40.
Key Words: (2+1)-dimensional Mikhalev equation; Lie symmetry analysis;
similarity reduction; conservation law; exact solution.
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Xinyue Li College of Mathematics and Systems Science Shandong University of Science and Technology Qingdao 266590, China email: xyli@sdust.edu.cn | |
Yongli Zhang Department of Mathematics and Statistics Qingdao University Qingdao, Shandong 266071, China email: zhangyonglisumili@163.com | |
Huiqun Zhang Department of Mathematics and Statistics Qingdao University Qingdao, Shandong 266071, China email: qddxzhanghq@163.com | |
Qiulan Zhao College of Mathematics and Systems Science Shandong University of Science and Technology Qingdao 266590, China email: qlzhao@sdust.edu.cn |
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