| Symmetry and Exact Solutions of （2＋1）-Dimensional Generalized Sasa-Satsuma Equation via a Modified Direct Method |
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| 作者姓名： | LU Chang-Cheng CHEN Yong |
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| 作者单位： | [1]Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China [2]Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No. 10735030, Shanghai Leading Academic Discipline Project under Grant No. B412, National Natural Science Foundation of China under Grant No. 90718041, Program for Changjiang Scholars and Innovative Research Team in University under Grant No. IRT0734 and K.C. Wong Magna Fund in Ningbo University |
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| 摘 要： | In this paper, first, we employ classic Lie symmetry groups approach to obtain the Lie symmetry groups, of the well-known （2＋1）-dimensional Generalized Sasa-Satsuma （GSS） equation. Second, based on a modified direct method proposed by Lou J.Phys.A： Math. Gen. 38 （2005） L129], more general symmetry groups are obtained and the relationship between the new solution and known solution is set up. At the same time, the Lie symmetry groups obtained are only special cases of the more general symmetry groups. At last, some exact solutions of GSS equations are constructed by the relationship obtained in the paper between the new solution and known solution.
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| 关 键 词： | Lie对称性 解方程 改性方法 广义 精确解 构造体系 对称群 直接法 |
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