| （2＋1）维Sawada—Kotera方程的精确孤立波和周期孤立波解 |
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| 引用本文： | 刘常福. （2＋1）维Sawada—Kotera方程的精确孤立波和周期孤立波解[J]. 文山师范高等专科学校学报, 2010, 23(1): 110-113 |
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| 作者姓名： | 刘常福 |
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| 作者单位： | 文山学院数理系,云南文山,663000 |
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| 基金项目： | 文山学院科研基金项目 |
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| 摘 要： | 文章扩展Hirota双线性法，引用新的函数结构，找到（2＋1）维Sawada-Kotera方程的系列精确孤立波和周期孤立波解，这些结果，有助于对非线性波在高维空间的动力学性质的了解，尤其有助于对高维模型中的局域结构，相互作用是否与一维系统有着本质差别的探究。
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| 关 键 词： | （2＋1）维Sawada—Kotera方程 扩展Hirota双线性法 孤立波 周期孤立波 |
Exact Solitary Wave and Periodic Solitary Wave Solutions for the (2+1)-dimensional Sawada-Kotera Equation |
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| LIU Chang-fu. Exact Solitary Wave and Periodic Solitary Wave Solutions for the (2+1)-dimensional Sawada-Kotera Equation[J]. Journal of Wenshan Teachers College, 2010, 23(1): 110-113 |
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| Authors: | LIU Chang-fu |
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| Affiliation: | LIU Chang-fu(Department of Mathematics , Physics,Wenshan University,Wenshan Yunnan 663000,China) |
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| Abstract: | In this paper,some exact solitary wave and periodic solitary wave solutions for the(2+1)-dimensional Sawada-Kotera equation axe obtained by using extended Hirota bilinear method and introducing a new function.These results help us to understand the nonlinear wave dynamics in high-dimensional space.In particular,they help us to investigate the local structure and the interaction in the high-dimensional models which whether there axe essential differences with those of one-dimensional systems. |
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| Keywords: | The (2+1)-dimensional Sawada-Kotera equation extended Hirota's bilinear method solitary wave periodic solitary wave |
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