| Nonlocal symmetries and similarity reductions for Korteweg-de Vries-negative-order Korteweg-de Vries equation |
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| 作者姓名： | 胡恒春 刘飞艳 |
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| 作者单位： | College of Science |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant No.11471215)。 |
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| 摘 要： | The nonlocal symmetries are derived for the Korteweg–de Vries–negative-order Korteweg–de Vries equation from the Painlevétruncation method.The nonlocal symmetries are localized to the classical Lie point symmetries for the enlarged system by introducing new dependent variables.The corresponding similarity reduction equations are obtained with different constant selections.Many explicit solutions for the integrable equation can be presented from the similarity reduction.
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| 关 键 词： | NONLOCAL SYMMETRY SYMMETRY reduction LIE point SYMMETRY KdV-nKdV equation |
Nonlocal symmetries and similarity reductions for Korteweg-de Vries-negative-order Korteweg-de Vries equation |
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| Heng-Chun Hu,Fei-Yan Liu.Nonlocal symmetries and similarity reductions for Korteweg-de Vries-negative-order Korteweg-de Vries equation[J].Chinese Physics B,2020(4):121-126. |
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| Authors: | Heng-Chun Hu Fei-Yan Liu |
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| Institution: | (College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China) |
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