A New (2+1)-Dimensional KdV Equation and Its Localized Structures |
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作者姓名: | 彭彦洋 |
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作者单位: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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基金项目: | Supported by Research Fund for the Doctoral Program of Higher Education of China under Grant No. 20070486094 |
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摘 要: | A new (2+1)-dimensional KdV equation is constructed by using Lax pair generating technique. Exact solutions of the new equation are studied by means of the singular manifold method. Bgcklund transformation in terms of the singular manifold is obtained. And localized structures are also investigated.
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关 键 词: | KdV方程 局域结构 流形方法 生成技术 Lax对 方程构造 局部结构 精确解 |
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