| 推广的Jacobi椭圆函数开法和(3+1)维Kadomtsev-Petviashvili方程的新解探索 |
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| 引用本文： | 朱加民.推广的Jacobi椭圆函数开法和(3+1)维Kadomtsev-Petviashvili方程的新解探索[J].云南师范大学学报(自然科学版),2004,24(6):9-13. |
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| 作者姓名： | 朱加民 |
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| 作者单位： | 浙江丽水学院物理系,浙江,丽水,323000 |
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| 摘 要： | 文章将Jacobi椭圆函数展开法进行推广,在拟解中对参数j的取 值进行对称延拓。并以(3 1)维非线性Kadomtsev-Petviashvili方程为例,借助计算机代数系统Maple,求出新的周期解和孤波解。并通过图形分析法,给出了相应的讨论。
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| 关 键 词： | (3 1)维 非线性发展方程 椭圆函数法 周期解 孤波解 |
| 文章编号： | 1007-9793(2004)06-0009-05 |
Study of generalized Jacobi elliptic function expansion method and new exact solution of (3+1)-dimensional Kadomtsev-Petviashvili equation |
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| ZHU Jia-min.Study of generalized Jacobi elliptic function expansion method and new exact solution of (3+1)-dimensional Kadomtsev-Petviashvili equation[J].Journal of Yunnan Normal University (Natural Sciences Edition),2004,24(6):9-13. |
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| Authors: | ZHU Jia-min |
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| Abstract: | The Jacobi elliptic function expansion method is generalized further in this paper. The selecting values on the parameter j in the formal solution are symmetrically developed. We take (3 1)-dimensional Kadomtsev-Petviashvili an example, by means of Maple and graphical analysis, new doubly periodic wave and solitary wave structures are obtained. |
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| Keywords: | (3 1)-dimensional nonlinear evolution equations Jacobi elliptic function mothod periodic solutions solity solutions |
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