| Nizhnik-Novikov-Veselov方程的非李点对称及其精确解(英文) |
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| 引用本文： | 胡瀚玮,俞军. Nizhnik-Novikov-Veselov方程的非李点对称及其精确解(英文)[J]. 宁波大学学报(理工版), 2012, 0(2): 83-87 |
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| 作者姓名： | 胡瀚玮 俞军 |
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| 作者单位： | 宁波大学理学院;绍兴文理学院物理系 |
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| 基金项目： | Supported by National Natural Science Foundation of China(10875078);Natural Science Foundation of Zhejiang Province(Y7080455) |
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| 摘 要： | 对于非线性物理系统的有限对称群,一个新的方法被提出.将该方法作用于Nizhnik-Novikov-Veselov(NNV)方程,李点和非李点对称能同时得到,而使用经典李群法只能得到李点对称.最后,通过对称变化群能得到许多新的孤子解.
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| 关 键 词： | Lax对 对称 对称群 精确解 |
Non-Lie Point Symmetry and Coherent Soliton Solutions of Nizhnik-Novikov-Veselov Equation |
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| HU Han-wei,YU Jun. Non-Lie Point Symmetry and Coherent Soliton Solutions of Nizhnik-Novikov-Veselov Equation[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2012, 0(2): 83-87 |
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| Authors: | HU Han-wei YU Jun |
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| Affiliation: | 1.Faculty of Science,Ningbo University,Ningbo 315211,China;2.Department of Physics,Shaoxing University,Shaoxing 312000,China) |
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| Abstract: | A new method is presented to find the finite symmetry groups of nonlinear physics systems.For the(2+1)-dimensional Nizhnik-Novikov-Veselov(NNV) equation,both the Lie point symmetry and the non-Lie symmetry group are obtained using the proposed method.In contrast,only the Lie symmetry groups can be found if using the traditional Lie approach.Furthermore,a variety of localized structures of the NNV equation can also be obtained from the non-Lie symmetry group. |
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| Keywords: | Lax pair symmetries symmetry group exact solution |
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