? -Symmetry and ? -Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations

Yu-Shan Bai, Jian-Ting Pei and Wen-Xiu Ma
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Yu-Shan Bai: Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China
Jian-Ting Pei: Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China
Wen-Xiu Ma: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2020, vol. 8, issue 7, 1-13

Abstract: On one hand, we construct λ -symmetries and their corresponding integrating factors and invariant solutions for two kinds of ordinary differential equations. On the other hand, we present μ -symmetries for a (2+1)-dimensional diffusion equation and derive group-reductions of a first-order partial differential equation. A few specific group invariant solutions of those two partial differential equations are constructed.

Keywords: ? -symmetries; ? -symmetries; integrating factors; invariant solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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