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Group-invariant solutions to $$SL'(2)$$ S L ′ ( 2 ) -motion equation
Pramana ( IF 1.9 ) Pub Date : 2021-07-13 , DOI: 10.1007/s12043-021-02140-x Fang Gao 1 , Zhenjie Niu 1 , Zenggui Wang 1
中文翻译：
$$SL'(2)$$SL ′ ( 2 ) -运动方程的群不变解
更新日期：2021-07-13
Pramana ( IF 1.9 ) Pub Date : 2021-07-13 , DOI: 10.1007/s12043-021-02140-x Fang Gao 1 , Zhenjie Niu 1 , Zenggui Wang 1
Affiliation
By using the theory of group-invariant solutions, the symmetries of the motion equation of plane curve in \(SL'(2)\) geometry is presented. Group-invariant solutions associated with one-dimensional optimal system are obtained and classified.
中文翻译：
$$SL'(2)$$SL ′ ( 2 ) -运动方程的群不变解
利用群不变解理论，给出了\(SL'(2)\)几何中平面曲线运动方程的对称性。获得并分类与一维最优系统相关的群不变解。
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