| Jacobi椭圆函数在求解CMKP方程中的应用 |
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| 引用本文： | 施业琼,SONG Han.Jacobi椭圆函数在求解CMKP方程中的应用[J].广西工学院学报,2008,19(2):86-88. |
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| 作者姓名： | 施业琼 SONG Han |
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| 作者单位： | 广西工学院,信息与计算科学系,广西,柳州,545006 |
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| 基金项目： | 国家自然科学基金
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广西教育厅科研项目 |
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| 摘 要： | 考虑耦合修正Kadomtsev-Petviashvili（CMKP）方程的行波解,通过一个适当的变换,将耦合修正Kadomtsev-Petviashvili（CMKP）方程转化为一个同解方程,然后对该方程进行波变化,把求偏微分方程问题转为求解常微分方程,通过引进高阶辅助方程,利用Jacobi椭圆函数,取得了CMKP方程的一些新的精确行波解。
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| 关 键 词： | CMKP方程 行波解 行波变化 高阶辅助方程 Jacobi椭圆函数 |
The application of Jacobi elliptic function period solutions in solving CMKP equations |
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| Shi Ye-qiong,SONG Han.The application of Jacobi elliptic function period solutions in solving CMKP equations[J].Journal of Guangxi University of Technology,2008,19(2):86-88. |
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| Authors: | Shi Ye-qiong SONG Han |
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| Affiliation: | SHI Ye-qiong, SONG Han(Department of Information and Computing Science,Guangxi University of Technology, Liuzhou 545006, China) |
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| Abstract: | We made the coupled modified Kadomtsev-Petviashvili equations into identical reforming of differential equation by using an appropriate variable substitution.We have obtained some new exact travelling wave solutions of the coupled modified Kadomtsev-Petviashvili equations by using the travelling wave transform and a high order auxiliary function and the Jacobi elliptic function periodic solutions. |
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| Keywords: | CMKP equations travelling wave solutions travelling wave transform high order auxiliary function Jacobi elliptic functions |
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