<i>λ</i>-Symmetry and <i>μ</i>-Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations
On one hand, we construct <i>λ</i>-symmetries and their corresponding integrating factors and invariant solutions for two kinds of ordinary differential equations. On the other hand, we present <i>μ</i>-symmetries for a (2+1)-dimensional diffusion equation and derive group-re...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/7/1138 |
| _version_ | 1827713281666580480 |
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| author | Yu-Shan Bai Jian-Ting Pei Wen-Xiu Ma |
| author_facet | Yu-Shan Bai Jian-Ting Pei Wen-Xiu Ma |
| author_sort | Yu-Shan Bai |
| collection | DOAJ |
| description | On one hand, we construct <i>λ</i>-symmetries and their corresponding integrating factors and invariant solutions for two kinds of ordinary differential equations. On the other hand, we present <i>μ</i>-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. |
| first_indexed | 2024-03-10T18:31:46Z |
| format | Article |
| id | doaj.art-9d54a3c4a850470ba23090d508ac55b3 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T18:31:46Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-9d54a3c4a850470ba23090d508ac55b32023-11-20T06:33:14ZengMDPI AGMathematics2227-73902020-07-0187113810.3390/math8071138<i>λ</i>-Symmetry and <i>μ</i>-Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential EquationsYu-Shan Bai0Jian-Ting Pei1Wen-Xiu Ma2Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaOn one hand, we construct <i>λ</i>-symmetries and their corresponding integrating factors and invariant solutions for two kinds of ordinary differential equations. On the other hand, we present <i>μ</i>-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.https://www.mdpi.com/2227-7390/8/7/1138<i>λ</i>-symmetries<i>μ</i>-symmetriesintegrating factorsinvariant solutions |
| spellingShingle | Yu-Shan Bai Jian-Ting Pei Wen-Xiu Ma <i>λ</i>-Symmetry and <i>μ</i>-Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations Mathematics <i>λ</i>-symmetries <i>μ</i>-symmetries integrating factors invariant solutions |
| title | <i>λ</i>-Symmetry and <i>μ</i>-Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations |
| title_full | <i>λ</i>-Symmetry and <i>μ</i>-Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations |
| title_fullStr | <i>λ</i>-Symmetry and <i>μ</i>-Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations |
| title_full_unstemmed | <i>λ</i>-Symmetry and <i>μ</i>-Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations |
| title_short | <i>λ</i>-Symmetry and <i>μ</i>-Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations |
| title_sort | i λ i symmetry and i μ i symmetry reductions and invariant solutions of four nonlinear differential equations |
| topic | <i>λ</i>-symmetries <i>μ</i>-symmetries integrating factors invariant solutions |
| url | https://www.mdpi.com/2227-7390/8/7/1138 |
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