| (3+1)维 KdV 方程新的精确解和孤子解 |
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| 引用本文： | 毛杰健,杨建荣.(3+1)维 KdV 方程新的精确解和孤子解[J].原子与分子物理学报,2008,25(4):957-961. |
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| 作者姓名： | 毛杰健 杨建荣 |
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| 作者单位： | 江西上饶师范学院物理系,上饶,334001 |
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| 摘 要： | 用普通Korteweg-de Vries(KdV)方程作变换,构造(3 1)维KdV方程的解,获得了新的孤子解、Jaoobi椭圆函数解、三角函数解和Weierstrass椭圆函数解.
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| 关 键 词： | (3 1)维KdV方程 孤子解 精确解 |
New exact solutions and solition solutions for the (3+1)dimensional KdV equation |
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| MAO Jie-Jian,YANG Jian-Rong.New exact solutions and solition solutions for the (3+1)dimensional KdV equation[J].Journal of Atomic and Molecular Physics,2008,25(4):957-961. |
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| Authors: | MAO Jie-Jian YANG Jian-Rong |
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| Institution: | Department of Physics, Shangrao Normal College, Jiangxi and Department of Physics, Shangrao Normal College, Jiangxi |
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| Abstract: | By the transforming with general KdV equation, the solutions of the the (3+1)dimensional KdV equation are constructed. As a result, we successfully obtain the new solition solutions, Jacobi elliptic function solutions, trigonometric function solutions and Weierstrass elliptic function solutions of the the (3+1)dimensional KdV equation. |
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| Keywords: | KdV equation (3+1)dimensional KdV equation solition solutions exact solutions |
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