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λ -Symmetry and μ -Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations

Author

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  • Yu-Shan Bai

    (Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China
    Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA)

  • 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
    Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
    School of Mathematics, South China University of Technology, Guangzhou 510640, China)

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.

Suggested Citation

  • Yu-Shan Bai & Jian-Ting Pei & Wen-Xiu Ma, 2020. "λ -Symmetry and μ -Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations," Mathematics, MDPI, vol. 8(7), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1138-:d:383447
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