| Caudrey–Dodd–Gibbon–Kotera–Sawada方程的对称、精确解和守恒律 |
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| 引用本文： | 王婷婷,刘希强,于金倩. Caudrey–Dodd–Gibbon–Kotera–Sawada方程的对称、精确解和守恒律[J]. 量子电子学报, 2011, 28(4): 385-390. DOI: 10.3969/j.issn.l007-5461.2011.04.001 |
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| 作者姓名： | 王婷婷 刘希强 于金倩 |
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| 作者单位： | 聊城大学数学科学学院，山东 聊城 252059 |
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| 基金项目： | 国家自然科学基金与中物院联合基金资助项目(11076015); 山东省自然科学基金资助项目(2008A35) |
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| 摘 要： | 应用改进的CK直接方法，得到了（2+1）维Caudrey–Dodd–Gibbon–Kotera–Sawada（CDGKS）方程的对称群定理。利用对称群理论和方程的旧解得到了该方程新的精确解，扩大了解的范围。最后根据对称和共轭方程求出了（2+1）维CDGKS方程的无穷多守恒律。
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| 关 键 词： | （2+1）维CDGKS方程 改进的CK直接方法 精确解 守恒律 |
| 收稿时间： | 2010-09-25 |
| 修稿时间： | 2010-11-20 |
Symmetries,exact solutions and conservation laws of Caudrey-Dodd-Gibbon-Kotera-Sawada equation |
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| WANG Ting-ting,LIU Xi-qiang,YU Jin-qian. Symmetries,exact solutions and conservation laws of Caudrey-Dodd-Gibbon-Kotera-Sawada equation[J]. Chinese Journal of Quantum Electronics, 2011, 28(4): 385-390. DOI: 10.3969/j.issn.l007-5461.2011.04.001 |
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| Authors: | WANG Ting-ting LIU Xi-qiang YU Jin-qian |
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| Affiliation: | School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China |
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| Abstract: | By using the improved CK's method,the symmetry group theorem of(2+1)-dimensional Caudrey-Dodd -Gibbon-Kotera-Sawada equation is derived.Some new exact solutions of(2+1)-dimensional CDGKS equation are obtained by applying the theorem and given solutions,which expands the scope of solutions of CDGKS equation.Infinite conservation laws of(2+1)-dimensional CDGKS equation are also found by the symmetries and adjoint equation. |
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| Keywords: | (2 1)-dimensional CDGKS equation improved CK's exact solutions conservation laws |
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