A Class of PDEs with Nonlinear Superposition Principles
Through assuming that nonlinear superposition principles (NLSPs) are embedded in a Lie group, a class of 3rd-order PDEs is derived from a general determining equation that determine the invariant group. The corresponding NLSPs and transformation to linearize the nonlinear PDE are found, hence the go...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/346824 |
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| _version_ | 1832566761081274368 |
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| author | Li Peng Liu Keying Pan Zuliang Zhong Weizhou |
| author_facet | Li Peng Liu Keying Pan Zuliang Zhong Weizhou |
| author_sort | Li Peng |
| collection | DOAJ |
| description | Through assuming that nonlinear superposition principles (NLSPs) are embedded in a Lie group, a class of 3rd-order PDEs is derived from a general determining equation that determine the invariant group. The corresponding NLSPs and transformation to linearize the nonlinear PDE are found, hence the governing PDE is proved C-integrable. In the end, some applications of the PDEs are explained, which shows that the result has very subtle relations with linearization of partial differential equation. |
| format | Article |
| id | doaj-art-6340c16a95824169a68282c82d8df724 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6340c16a95824169a68282c82d8df7242025-02-03T01:03:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/346824346824A Class of PDEs with Nonlinear Superposition PrinciplesLi Peng0Liu Keying1Pan Zuliang2Zhong Weizhou3Department of Mathematics, North China University of Water Conservancy and Electric Power, Zhengzhou 450011, ChinaDepartment of Mathematics, North China University of Water Conservancy and Electric Power, Zhengzhou 450011, ChinaDepartment of Mathematics, Zhejiang University, Hangzhou 310027, ChinaSchool of Economics and Finance, Xi’an Jiaotong University, Xi’an 710061, ChinaThrough assuming that nonlinear superposition principles (NLSPs) are embedded in a Lie group, a class of 3rd-order PDEs is derived from a general determining equation that determine the invariant group. The corresponding NLSPs and transformation to linearize the nonlinear PDE are found, hence the governing PDE is proved C-integrable. In the end, some applications of the PDEs are explained, which shows that the result has very subtle relations with linearization of partial differential equation.http://dx.doi.org/10.1155/2012/346824 |
| spellingShingle | Li Peng Liu Keying Pan Zuliang Zhong Weizhou A Class of PDEs with Nonlinear Superposition Principles Journal of Applied Mathematics |
| title | A Class of PDEs with Nonlinear Superposition Principles |
| title_full | A Class of PDEs with Nonlinear Superposition Principles |
| title_fullStr | A Class of PDEs with Nonlinear Superposition Principles |
| title_full_unstemmed | A Class of PDEs with Nonlinear Superposition Principles |
| title_short | A Class of PDEs with Nonlinear Superposition Principles |
| title_sort | class of pdes with nonlinear superposition principles |
| url | http://dx.doi.org/10.1155/2012/346824 |
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