| 用推广的映射法研究变系数非线性发展方程 |
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| 引用本文： | 朱加民.用推广的映射法研究变系数非线性发展方程[J].浙江师范大学学报(自然科学版),2004,27(4):354-359. |
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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： | 为寻求变系数非线性发展方程的解,利用推广的映射法,研究了变系数非线性KdV型方程,得到了它的周期波解、具有周期性行为的孤波解、Jacobian椭圆函数解和Weierstrass椭圆函数解等.
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| 关 键 词： | 变系数非线性方程 推广的映射法 椭圆方程 精确解 |
| 文章编号： | 1001-5051-(2004)04-0354-06 |
| 修稿时间： | 2004年5月19日 |
Study of extened elliptic equation mapping method to variable coefficient nonlinear models |
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| ZHU Jia-min.Study of extened elliptic equation mapping method to variable coefficient nonlinear models[J].Journal of Zhejiang Normal University Natural Sciences,2004,27(4):354-359. |
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| Authors: | ZHU Jia-min |
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| Abstract: | In order to obtain the solutions of variable coefficient nonlinear equation, the elliptic equation mapping method was generalized. Construction of the exact solutions of variable coefficient nonlinear wave equations include periodic wave solutions, Jacobian double periodic wave solutions and Weierstrass double periodic wave solutions were shown as application of the generalized method. |
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| Keywords: | variable coefficient nonlinear model extend mapping method elliptic equation exact solution |
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