One-Dimensional Optimal System and Similarity Reductions of Wu-Zhang Equation |
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| Authors: | Na Xiong Yu-Qi Li Jun-Chao Chen Yong Chen |
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| Affiliation: | Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China |
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| Abstract: | ![]()
The one-dimensional optimal system for the Lie symmetry group of the (2+1)-dimensional Wu-Zhang equation is constructed by the general and systematic approach. Based on the optimal system, the complete and inequivalent symmetry reduction systems are presented in the form of table. It is noteworthy that a new Painlevé integrable equation with constant coefficient is in the table besides the classic Boussinesq equation and the steady case of the Wu-Zhang equation. |
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| Keywords: | Wu-Zhang equation optimal system similarity reduction Painlevé integrability |
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